916945920 has 528 divisors, whose sum is σ = 3648048768. Its totient is φ = 218972160.

The previous prime is 916945891. The next prime is 916945943. The reversal of 916945920 is 29549619.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 13685727 + ... + 13685793.

Almost surely, 2^916945920 is an apocalyptic number.

916945920 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 916945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824024384).

916945920 is an abundant number, since it is smaller than the sum of its proper divisors (2731102848).

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

916945920 is a wasteful number, since it uses less digits than its factorization.

916945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 916945920 is about 30281.1149068194. The cubic root of 916945920 is about 971.5114142565.

The spelling of 916945920 in words is "nine hundred sixteen million, nine hundred forty-five thousand, nine hundred twenty".