32284640 has 96 divisors (see below), whose sum is σ = 82446336. Its totient is φ = 11911680.

The previous prime is 32284633. The next prime is 32284657. The reversal of 32284640 is 4648223.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113939 + ... + 114221.

It is an arithmetic number, because the mean of its divisors is an integer number (858816).

Almost surely, 2^32284640 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 32284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41223168).

32284640 is an abundant number, since it is smaller than the sum of its proper divisors (50161696).

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

32284640 is a wasteful number, since it uses less digits than its factorization.

32284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 32284640 is about 5681.9574092033. The cubic root of 32284640 is about 318.4187618886.

The spelling of 32284640 in words is "thirty-two million, two hundred eighty-four thousand, six hundred forty".