916362720 has 864 divisors, whose sum is σ = 4172339808. Its totient is φ = 188116992.

The previous prime is 916362719. The next prime is 916362721. The reversal of 916362720 is 27263619.

916362720 is a `hidden beast` number, since 9 + 1 + 6 + 3 + 627 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (916362719) and next prime (916362721).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916362721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766542 + ... + 24766578.

It is an arithmetic number, because the mean of its divisors is an integer number (4829097).

Almost surely, 2^916362720 is an apocalyptic number.

916362720 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 916362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086169904).

916362720 is an abundant number, since it is smaller than the sum of its proper divisors (3255977088).

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

916362720 is a wasteful number, since it uses less digits than its factorization.

916362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 916362720 is about 30271.4836108176. The cubic root of 916362720 is about 971.3054022451.

916362720 divided by its product of nonzero digits (27216) gives a triangular number (33670 = T₂₅₉).

The spelling of 916362720 in words is "nine hundred sixteen million, three hundred sixty-two thousand, seven hundred twenty".