90538560 has 280 divisors, whose sum is σ = 368808000. Its totient is φ = 20653056.

The previous prime is 90538559. The next prime is 90538571. The reversal of 90538560 is 6583509.

90538560 is a `hidden beast` number, since 90 + 5 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181191 + ... + 181689.

Almost surely, 2^90538560 is an apocalyptic number.

90538560 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 90538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184404000).

90538560 is an abundant number, since it is smaller than the sum of its proper divisors (278269440).

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

90538560 is a wasteful number, since it uses less digits than its factorization.

90538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90538560 is about 9515.1752479920. The cubic root of 90538560 is about 449.0325884122.

The spelling of 90538560 in words is "ninety million, five hundred thirty-eight thousand, five hundred sixty".