32555968 has 56 divisors (see below), whose sum is σ = 69768720. Its totient is φ = 15022080.

The previous prime is 32555959. The next prime is 32556001. The reversal of 32555968 is 86955523.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49530 + ... + 50182.

It is an arithmetic number, because the mean of its divisors is an integer number (1245870).

Almost surely, 2^32555968 is an apocalyptic number.

32555968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34884360).

32555968 is an abundant number, since it is smaller than the sum of its proper divisors (37212752).

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

32555968 is a wasteful number, since it uses less digits than its factorization.

32555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The square root of 32555968 is about 5705.7837323193. The cubic root of 32555968 is about 319.3082975807.

The spelling of 32555968 in words is "thirty-two million, five hundred fifty-five thousand, nine hundred sixty-eight".