920772864 has 216 divisors, whose sum is σ = 2961608832. Its totient is φ = 272732160.

The previous prime is 920772841. The next prime is 920772877. The reversal of 920772864 is 468277029.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190782 + ... + 1191554.

It is an arithmetic number, because the mean of its divisors is an integer number (13711152).

Almost surely, 2^920772864 is an apocalyptic number.

920772864 is a gapful number since it is divisible by the number (94) 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 920772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480804416).

920772864 is an abundant number, since it is smaller than the sum of its proper divisors (2040835968).

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

920772864 is a wasteful number, since it uses less digits than its factorization.

920772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 920772864 is about 30344.2393874027. The cubic root of 920772864 is about 972.8610974150.

The spelling of 920772864 in words is "nine hundred twenty million, seven hundred seventy-two thousand, eight hundred sixty-four".