90562560 has 224 divisors, whose sum is σ = 320844672. Its totient is φ = 21626880.

The previous prime is 90562529. The next prime is 90562567. The reversal of 90562560 is 6526509.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90562567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351647 + ... + 1351713.

Almost surely, 2^90562560 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 90562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160422336).

90562560 is an abundant number, since it is smaller than the sum of its proper divisors (230282112).

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

90562560 is a wasteful number, since it uses less digits than its factorization.

90562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 90562560 is about 9516.4363077782. The cubic root of 90562560 is about 449.0722614900.

The spelling of 90562560 in words is "ninety million, five hundred sixty-two thousand, five hundred sixty".