32968920 has 64 divisors (see below), whose sum is σ = 101334240. Its totient is φ = 8576000.

The previous prime is 32968907. The next prime is 32968939. The reversal of 32968920 is 2986923.

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 15 ways as a sum of consecutive naturals, for example, 1570 + ... + 8270.

Almost surely, 2^32968920 is an apocalyptic number.

32968920 is a gapful number since it is divisible by the number (30) 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 32968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50667120).

32968920 is an abundant number, since it is smaller than the sum of its proper divisors (68365320).

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

32968920 is a wasteful number, since it uses less digits than its factorization.

32968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 32968920 is about 5741.8568425205. The cubic root of 32968920 is about 320.6527042319.

The spelling of 32968920 in words is "thirty-two million, nine hundred sixty-eight thousand, nine hundred twenty".