32956768 has 48 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 15100416.

The previous prime is 32956741. The next prime is 32956771. The reversal of 32956768 is 86765923.

It is a super-2 number, since 2×32956768² = 2172297114011648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94258 + ... + 94606.

It is an arithmetic number, because the mean of its divisors is an integer number (1466325).

Almost surely, 2^32956768 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 32956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

32956768 is an abundant number, since it is smaller than the sum of its proper divisors (37426832).

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

32956768 is a wasteful number, since it uses less digits than its factorization.

32956768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 32956768 is about 5740.7985507245. The cubic root of 32956768 is about 320.6133029765.

The spelling of 32956768 in words is "thirty-two million, nine hundred fifty-six thousand, seven hundred sixty-eight".