90552560 has 80 divisors (see below), whose sum is σ = 243145152. Its totient is φ = 30720000.

The previous prime is 90552521. The next prime is 90552563. The reversal of 90552560 is 6525509.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×90552560² = 16399532245107200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90552563) 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, 55760 + ... + 57360.

Almost surely, 2^90552560 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 90552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121572576).

90552560 is an abundant number, since it is smaller than the sum of its proper divisors (152592592).

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

90552560 is a wasteful number, since it uses less digits than its factorization.

90552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 90552560 is about 9515.9108865100. The cubic root of 90552560 is about 449.0557318928.

The spelling of 90552560 in words is "ninety million, five hundred fifty-two thousand, five hundred sixty".