916221600 has 540 divisors, whose sum is σ = 3840187806. Its totient is φ = 205470720.

The previous prime is 916221599. The next prime is 916221617. The reversal of 916221600 is 6122619.

916221600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 763748496 + 152473104 = 27636^2 + 12348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17287174 + ... + 17287226.

Almost surely, 2^916221600 is an apocalyptic number.

916221600 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 916221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920093903).

916221600 is an abundant number, since it is smaller than the sum of its proper divisors (2923966206).

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

916221600 is a wasteful number, since it uses less digits than its factorization.

916221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 916221600 is about 30269.1526145018. The cubic root of 916221600 is about 971.2555392915.

The spelling of 916221600 in words is "nine hundred sixteen million, two hundred twenty-one thousand, six hundred".