920466960 has 240 divisors, whose sum is σ = 3435048000. Its totient is φ = 203062272.

The previous prime is 920466919. The next prime is 920466983. The reversal of 920466960 is 69664029.

920466960 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339691 + ... + 342389.

It is an arithmetic number, because the mean of its divisors is an integer number (14312700).

Almost surely, 2^920466960 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 920466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717524000).

920466960 is an abundant number, since it is smaller than the sum of its proper divisors (2514581040).

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

920466960 is a wasteful number, since it uses less digits than its factorization.

920466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 920466960 is about 30339.1984073410. The cubic root of 920466960 is about 972.7533491396.

The spelling of 920466960 in words is "nine hundred twenty million, four hundred sixty-six thousand, nine hundred sixty".