32814432 has 144 divisors (see below), whose sum is σ = 109523232. Its totient is φ = 9123840.

The previous prime is 32814427. The next prime is 32814433. The reversal of 32814432 is 23441823.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 32814396 and 32814405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32814433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82458 + ... + 82854.

It is an arithmetic number, because the mean of its divisors is an integer number (760578).

Almost surely, 2^32814432 is an apocalyptic number.

32814432 is a gapful number since it is divisible by the number (32) 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 32814432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54761616).

32814432 is an abundant number, since it is smaller than the sum of its proper divisors (76708800).

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

32814432 is a wasteful number, since it uses less digits than its factorization.

32814432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 32814432 is about 5728.3882549981. The cubic root of 32814432 is about 320.1510744987.

The spelling of 32814432 in words is "thirty-two million, eight hundred fourteen thousand, four hundred thirty-two".