32464960 has 112 divisors (see below), whose sum is σ = 88221312. Its totient is φ = 11264000.

The previous prime is 32464933. The next prime is 32464961. The reversal of 32464960 is 6946423.

It is not an unprimeable number, because it can be changed into a prime (32464961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80760 + ... + 81160.

Almost surely, 2^32464960 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 32464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44110656).

32464960 is an abundant number, since it is smaller than the sum of its proper divisors (55756352).

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

32464960 is a wasteful number, since it uses less digits than its factorization.

32464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 32464960 is about 5697.8030854005. The cubic root of 32464960 is about 319.0104850083.

The spelling of 32464960 in words is "thirty-two million, four hundred sixty-four thousand, nine hundred sixty".