90884880 has 60 divisors (see below), whose sum is σ = 305224140. Its totient is φ = 24235776.

The previous prime is 90884879. The next prime is 90884921. The reversal of 90884880 is 8848809.

90884880 is a `hidden beast` number, since 90 + 88 + 488 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 68757264 = 4704^2 + 8292^2 .

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

It is a super-2 number, since 2×90884880² = 16520122825228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62395 + ... + 63834.

It is an arithmetic number, because the mean of its divisors is an integer number (5087069).

Almost surely, 2^90884880 is an apocalyptic number.

90884880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90884880 is an abundant number, since it is smaller than the sum of its proper divisors (214339260).

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

90884880 is a wasteful number, since it uses less digits than its factorization.

90884880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126248 (or 126239 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 90884880 is about 9533.3561771288. The cubic root of 90884880 is about 449.6043930541.

The spelling of 90884880 in words is "ninety million, eight hundred eighty-four thousand, eight hundred eighty".