90064008 has 32 divisors (see below), whose sum is σ = 250178400. Its totient is φ = 30021264.

The previous prime is 90063991. The next prime is 90064019. The reversal of 90064008 is 80046009.

It is a super-2 number, since 2×90064008² = 16223051074048128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208266 + ... + 208697.

It is an arithmetic number, because the mean of its divisors is an integer number (7818075).

Almost surely, 2^90064008 is an apocalyptic number.

It is an amenable number.

90064008 is an abundant number, since it is smaller than the sum of its proper divisors (160114392).

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

90064008 is a wasteful number, since it uses less digits than its factorization.

90064008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416978 (or 416968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90064008 is about 9490.2058987147. The cubic root of 90064008 is about 448.2466886484.

The spelling of 90064008 in words is "ninety million, sixty-four thousand, eight".