920617920 has 224 divisors, whose sum is σ = 3277209600. Its totient is φ = 243274752.

The previous prime is 920617891. The next prime is 920617937. The reversal of 920617920 is 29716029.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096861 + ... + 1097699.

It is an arithmetic number, because the mean of its divisors is an integer number (14630400).

Almost surely, 2^920617920 is an apocalyptic number.

920617920 is a gapful number since it is divisible by the number (90) 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 920617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638604800).

920617920 is an abundant number, since it is smaller than the sum of its proper divisors (2356591680).

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

920617920 is a wasteful number, since it uses less digits than its factorization.

920617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 920617920 is about 30341.6861759527. The cubic root of 920617920 is about 972.8065246201.

The spelling of 920617920 in words is "nine hundred twenty million, six hundred seventeen thousand, nine hundred twenty".