916320000 has 360 divisors, whose sum is σ = 3218269824. Its totient is φ = 230912000.

The previous prime is 916319993. The next prime is 916320061. The reversal of 916320000 is 23619.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11039959 + ... + 11040041.

Almost surely, 2^916320000 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 916320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609134912).

916320000 is an abundant number, since it is smaller than the sum of its proper divisors (2301949824).

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

916320000 is an equidigital number, since it uses as much as digits as its factorization.

916320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 916320000 is about 30270.7779880201. Note that the first 3 decimals coincide. The cubic root of 916320000 is about 971.2903082178.

Adding to 916320000 its reverse (23619), we get a palindrome (916343619).

The spelling of 916320000 in words is "nine hundred sixteen million, three hundred twenty thousand".