90091008 has 320 divisors, whose sum is σ = 327360000. Its totient is φ = 24385536.

The previous prime is 90090997. The next prime is 90091013. The reversal of 90091008 is 80019009.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 90091008 = 56³ + 448³ = 252³ + 420³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4741623 + ... + 4741641.

It is an arithmetic number, because the mean of its divisors is an integer number (1023000).

Almost surely, 2^90091008 is an apocalyptic number.

90091008 is a gapful number since it is divisible by the number (98) 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 90091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680000).

90091008 is an abundant number, since it is smaller than the sum of its proper divisors (237268992).

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

90091008 is an equidigital number, since it uses as much as digits as its factorization.

90091008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 90091008 is about 9491.6283113068. The cubic root of 90091008 is about 448.2914769853.

The spelling of 90091008 in words is "ninety million, ninety-one thousand, eight".