993565920 has 48 divisors (see below), whose sum is σ = 3129734160. Its totient is φ = 264950784.

The previous prime is 993565817. The next prime is 993565933. The reversal of 993565920 is 29565399.

993565920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 993565920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1034485 + ... + 1035444.

It is an arithmetic number, because the mean of its divisors is an integer number (65202795).

Almost surely, 2^993565920 is an apocalyptic number.

It is an amenable number.

993565920 is an abundant number, since it is smaller than the sum of its proper divisors (2136168240).

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

993565920 is a wasteful number, since it uses less digits than its factorization.

993565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069947 (or 2069939 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 48.

The square root of 993565920 is about 31520.8806983561. The cubic root of 993565920 is about 997.8506904447.

It can be divided in two parts, 9935 and 65920, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 993565920 in words is "nine hundred ninety-three million, five hundred sixty-five thousand, nine hundred twenty".