32816484 has 72 divisors (see below), whose sum is σ = 86643648. Its totient is φ = 10463040.

The previous prime is 32816479. The next prime is 32816489. The reversal of 32816484 is 48461823.

32816484 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 648 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (32816479) and next prime (32816489).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32816489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94399 + ... + 94745.

It is an arithmetic number, because the mean of its divisors is an integer number (1203384).

Almost surely, 2^32816484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32816484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43321824).

32816484 is an abundant number, since it is smaller than the sum of its proper divisors (53827164).

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

32816484 is a wasteful number, since it uses less digits than its factorization.

32816484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 32816484 is about 5728.5673601696. The cubic root of 32816484 is about 320.1577477445.

The spelling of 32816484 in words is "thirty-two million, eight hundred sixteen thousand, four hundred eighty-four".