90508964 has 72 divisors (see below), whose sum is σ = 202664448. Its totient is φ = 34594560.

The previous prime is 90508949. The next prime is 90508987. The reversal of 90508964 is 46980509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146384 + ... + 147000.

It is an arithmetic number, because the mean of its divisors is an integer number (2814784).

Almost surely, 2^90508964 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 90508964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101332224).

90508964 is an abundant number, since it is smaller than the sum of its proper divisors (112155484).

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

90508964 is a wasteful number, since it uses less digits than its factorization.

90508964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 90508964 is about 9513.6199209344. The cubic root of 90508964 is about 448.9836552401.

The spelling of 90508964 in words is "ninety million, five hundred eight thousand, nine hundred sixty-four".