916518720 has 448 divisors, whose sum is σ = 3408297984. Its totient is φ = 206807040.

The previous prime is 916518709. The next prime is 916518769. The reversal of 916518720 is 27815619.

It is a super-2 number, since 2×916518720² = 1680013128220876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8898189 + ... + 8898291.

It is an arithmetic number, because the mean of its divisors is an integer number (7607808).

Almost surely, 2^916518720 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 916518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704148992).

916518720 is an abundant number, since it is smaller than the sum of its proper divisors (2491779264).

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

916518720 is a wasteful number, since it uses less digits than its factorization.

916518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 916518720 is about 30274.0601835961. The cubic root of 916518720 is about 971.3605169000.

The spelling of 916518720 in words is "nine hundred sixteen million, five hundred eighteen thousand, seven hundred twenty".