90515520 has 168 divisors, whose sum is σ = 317744856. Its totient is φ = 23642112.

The previous prime is 90515519. The next prime is 90515527. The reversal of 90515520 is 2551509.

90515520 is a `hidden beast` number, since 90 + 51 + 5 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 70157376 = 4512^2 + 8376^2 .

It is not an unprimeable number, because it can be changed into a prime (90515527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152344 + ... + 152936.

Almost surely, 2^90515520 is an apocalyptic number.

90515520 is a gapful number since it is divisible by the number (90) 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 90515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158872428).

90515520 is an abundant number, since it is smaller than the sum of its proper divisors (227229336).

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

90515520 is a wasteful number, since it uses less digits than its factorization.

90515520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 90515520 is about 9513.9644733413. The cubic root of 90515520 is about 448.9944956609.

The spelling of 90515520 in words is "ninety million, five hundred fifteen thousand, five hundred twenty".