90316800 has 378 divisors, whose sum is σ = 376333893. Its totient is φ = 20643840.

The previous prime is 90316789. The next prime is 90316847. The reversal of 90316800 is 861309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 1806336 = 9408^2 + 1344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6720.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12902397 + ... + 12902403.

Almost surely, 2^90316800 is an apocalyptic number.

90316800 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 90316800

90316800 is an abundant number, since it is smaller than the sum of its proper divisors (286017093).

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

90316800 is a wasteful number, since it uses less digits than its factorization.

90316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

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

The square root of 90316800 is about 9503.5151391472. The cubic root of 90316800 is about 448.6656770564.

The spelling of 90316800 in words is "ninety million, three hundred sixteen thousand, eight hundred".