916657920 has 216 divisors, whose sum is σ = 3240933696. Its totient is φ = 239099904.

The previous prime is 916657913. The next prime is 916657927. The reversal of 916657920 is 29756619.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (916657913) and next prime (916657927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916657927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540594 + ... + 542286.

Almost surely, 2^916657920 is an apocalyptic number.

916657920 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 916657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620466848).

916657920 is an abundant number, since it is smaller than the sum of its proper divisors (2324275776).

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

916657920 is a wasteful number, since it uses less digits than its factorization.

916657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 916657920 is about 30276.3590941844. The cubic root of 916657920 is about 971.4096908507.

The spelling of 916657920 in words is "nine hundred sixteen million, six hundred fifty-seven thousand, nine hundred twenty".