32005925604 has 63 divisors (see below), whose sum is σ = 84002494233. Its totient is φ = 10665421632.

The previous prime is 32005925597. The next prime is 32005925641. The reversal of 32005925604 is 40652950023.

The square root of 32005925604 is 178902.

It is a perfect power (a square), and thus also a powerful number.

32005925604 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 5 + 92 + 560 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29580560100 + 2425365504 = 171990^2 + 49248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9659052 + ... + 9662364.

Almost surely, 2^32005925604 is an apocalyptic number.

32005925604 is the 178902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32005925604

32005925604 is an abundant number, since it is smaller than the sum of its proper divisors (51996568629).

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

32005925604 is an frugal number, since it uses more digits than its factorization.

32005925604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 32005925604 by its sum of digits (36), we get a square (1152213321744 = 1073412²).

32005925604 divided by its sum of digits (36) gives a square (889053489 = 29817²).

The spelling of 32005925604 in words is "thirty-two billion, five million, nine hundred twenty-five thousand, six hundred four".