32468625 has 144 divisors (see below), whose sum is σ = 73981440. Its totient is φ = 13608000.

The previous prime is 32468599. The next prime is 32468633. The reversal of 32468625 is 52686423.

32468625 is a `hidden beast` number, since 3 + 24 + 6 + 8 + 625 = 666.

It is not a de Polignac number, because 32468625 - 2⁷ = 32468497 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32468625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1047360 + ... + 1047390.

It is an arithmetic number, because the mean of its divisors is an integer number (513760).

Almost surely, 2^32468625 is an apocalyptic number.

32468625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32468625 is an abundant number, since it is smaller than the sum of its proper divisors (41512815).

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

32468625 is a wasteful number, since it uses less digits than its factorization.

32468625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 32468625 is about 5698.1246915104. The cubic root of 32468625 is about 319.0224890216.

The spelling of 32468625 in words is "thirty-two million, four hundred sixty-eight thousand, six hundred twenty-five".