90901008 has 240 divisors, whose sum is σ = 300814080. Its totient is φ = 26231040.

The previous prime is 90901003. The next prime is 90901039. The reversal of 90901008 is 80010909.

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

It is not an unprimeable number, because it can be changed into a prime (90901001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1934041 + ... + 1934087.

It is an arithmetic number, because the mean of its divisors is an integer number (1253392).

Almost surely, 2^90901008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90901008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407040).

90901008 is an abundant number, since it is smaller than the sum of its proper divisors (209913072).

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

90901008 is a wasteful number, since it uses less digits than its factorization.

90901008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

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

The square root of 90901008 is about 9534.2020117050. The cubic root of 90901008 is about 449.6309863692.

The spelling of 90901008 in words is "ninety million, nine hundred one thousand, eight".