32421816 has 128 divisors (see below), whose sum is σ = 105638400. Its totient is φ = 9020160.

The previous prime is 32421811. The next prime is 32421821. The reversal of 32421816 is 61812423.

It is an interprime number because it is at equal distance from previous prime (32421811) and next prime (32421821).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 32421816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32421811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61731 + ... + 62253.

It is an arithmetic number, because the mean of its divisors is an integer number (825300).

Almost surely, 2^32421816 is an apocalyptic number.

32421816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32421816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52819200).

32421816 is an abundant number, since it is smaller than the sum of its proper divisors (73216584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32421816 is a wasteful number, since it uses less digits than its factorization.

32421816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32421816 is about 5694.0158060898. The cubic root of 32421816 is about 318.8691070449.

The spelling of 32421816 in words is "thirty-two million, four hundred twenty-one thousand, eight hundred sixteen".