32400960 has 56 divisors (see below), whose sum is σ = 102876096. Its totient is φ = 8640000.

The previous prime is 32400941. The next prime is 32400961. The reversal of 32400960 is 6900423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32400960.

It is not an unprimeable number, because it can be changed into a prime (32400961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15916 + ... + 17835.

Almost surely, 2^32400960 is an apocalyptic number.

32400960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32400960 is an abundant number, since it is smaller than the sum of its proper divisors (70475136).

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

32400960 is a wasteful number, since it uses less digits than its factorization.

32400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33771 (or 33761 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 32400960 is about 5692.1841150827. The cubic root of 32400960 is about 318.8007193417.

The spelling of 32400960 in words is "thirty-two million, four hundred thousand, nine hundred sixty".