32993920 has 64 divisors (see below), whose sum is σ = 81469440. Its totient is φ = 12764160.

The previous prime is 32993903. The next prime is 32993941. The reversal of 32993920 is 2939923.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 32993920.

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, 19009 + ... + 20671.

It is an arithmetic number, because the mean of its divisors is an integer number (1272960).

Almost surely, 2^32993920 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 32993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40734720).

32993920 is an abundant number, since it is smaller than the sum of its proper divisors (48475520).

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

32993920 is a wasteful number, since it uses less digits than its factorization.

32993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 32993920 is about 5744.0334260866. The cubic root of 32993920 is about 320.7337329930.

It can be divided in two parts, 329 and 93920, that added together give a palindrome (94249).

The spelling of 32993920 in words is "thirty-two million, nine hundred ninety-three thousand, nine hundred twenty".