90560052 has 96 divisors (see below), whose sum is σ = 264499200. Its totient is φ = 26546400.

The previous prime is 90560033. The next prime is 90560059. The reversal of 90560052 is 25006509.

90560052 is a `hidden beast` number, since 9 + 0 + 5 + 600 + 52 = 666.

It is a super-2 number, since 2×90560052² = 16402246036485408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90559998 and 90560025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90560059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35599 + ... + 38057.

It is an arithmetic number, because the mean of its divisors is an integer number (2755200).

Almost surely, 2^90560052 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 90560052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132249600).

90560052 is an abundant number, since it is smaller than the sum of its proper divisors (173939148).

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

90560052 is a wasteful number, since it uses less digits than its factorization.

90560052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90560052 is about 9516.3045348496. The cubic root of 90560052 is about 449.0681159814.

The spelling of 90560052 in words is "ninety million, five hundred sixty thousand, fifty-two".