90568080 has 60 divisors (see below), whose sum is σ = 304160220. Its totient is φ = 24151296.

The previous prime is 90568069. The next prime is 90568087. The reversal of 90568080 is 8086509.

90568080 is a `hidden beast` number, since 90 + 568 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 53406864 = 6096^2 + 7308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×90568080² = 16405154229772800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90568087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62175 + ... + 63614.

It is an arithmetic number, because the mean of its divisors is an integer number (5069337).

Almost surely, 2^90568080 is an apocalyptic number.

90568080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90568080 is an abundant number, since it is smaller than the sum of its proper divisors (213592140).

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

90568080 is a wasteful number, since it uses less digits than its factorization.

90568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125808 (or 125799 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90568080 is about 9516.7263278924. The cubic root of 90568080 is about 449.0813853065.

The spelling of 90568080 in words is "ninety million, five hundred sixty-eight thousand, eighty".