920464560 has 160 divisors (see below), whose sum is σ = 3210240960. Its totient is φ = 245410560.

The previous prime is 920464549. The next prime is 920464583. The reversal of 920464560 is 65464029.

920464560 is a `hidden beast` number, since 9 + 2 + 0 + 4 + 645 + 6 + 0 = 666.

920464560 is nontrivially palindromic in base 14.

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

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, 172330 + ... + 177590.

It is an arithmetic number, because the mean of its divisors is an integer number (20064006).

Almost surely, 2^920464560 is an apocalyptic number.

920464560 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 920464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605120480).

920464560 is an abundant number, since it is smaller than the sum of its proper divisors (2289776400).

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

920464560 is an equidigital number, since it uses as much as digits as its factorization.

920464560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 920464560 is about 30339.1588545233. The cubic root of 920464560 is about 972.7525036955.

The spelling of 920464560 in words is "nine hundred twenty million, four hundred sixty-four thousand, five hundred sixty".