916755840 has 1024 divisors, whose sum is σ = 4441651200. Its totient is φ = 172523520.

The previous prime is 916755817. The next prime is 916755857. The reversal of 916755840 is 48557619.

916755840 is a `hidden beast` number, since 9 + 1 + 67 + 5 + 584 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 17297254 + ... + 17297306.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^916755840 is an apocalyptic number.

916755840 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 916755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

916755840 is an abundant number, since it is smaller than the sum of its proper divisors (3524895360).

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

916755840 is a wasteful number, since it uses less digits than its factorization.

916755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 916755840 is about 30277.9761542941. The cubic root of 916755840 is about 971.4442791990. Note that the first 3 decimals are identical.

The spelling of 916755840 in words is "nine hundred sixteen million, seven hundred fifty-five thousand, eight hundred forty".