32552960 has 144 divisors (see below), whose sum is σ = 90515880. Its totient is φ = 11141120.

The previous prime is 32552957. The next prime is 32552987. The reversal of 32552960 is 6925523.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1914872 + ... + 1914888.

Almost surely, 2^32552960 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 32552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257940).

32552960 is an abundant number, since it is smaller than the sum of its proper divisors (57962920).

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

32552960 is a wasteful number, since it uses less digits than its factorization.

32552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 32552960 is about 5705.5201340456. The cubic root of 32552960 is about 319.2984631428.

The spelling of 32552960 in words is "thirty-two million, five hundred fifty-two thousand, nine hundred sixty".