32485600 has 72 divisors (see below), whose sum is σ = 90650448. Its totient is φ = 11136000.

The previous prime is 32485549. The next prime is 32485631. The reversal of 32485600 is 658423.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2700 + ... + 8500.

It is an arithmetic number, because the mean of its divisors is an integer number (1259034).

Almost surely, 2^32485600 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 32485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45325224).

32485600 is an abundant number, since it is smaller than the sum of its proper divisors (58164848).

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

32485600 is a wasteful number, since it uses less digits than its factorization.

32485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 32485600 is about 5699.6140220194. The cubic root of 32485600 is about 319.0780756408.

The spelling of 32485600 in words is "thirty-two million, four hundred eighty-five thousand, six hundred".