90395520 has 192 divisors, whose sum is σ = 304592400. Its totient is φ = 22798336.

The previous prime is 90395519. The next prime is 90395527. The reversal of 90395520 is 2559309.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90395527) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1015636 + ... + 1015724.

Almost surely, 2^90395520 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 90395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152296200).

90395520 is an abundant number, since it is smaller than the sum of its proper divisors (214196880).

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

90395520 is a wasteful number, since it uses less digits than its factorization.

90395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 90395520 is about 9507.6558625142. The cubic root of 90395520 is about 448.7959913343.

The spelling of 90395520 in words is "ninety million, three hundred ninety-five thousand, five hundred twenty".