90057132 has 72 divisors (see below), whose sum is σ = 249539472. Its totient is φ = 27158400.

The previous prime is 90057119. The next prime is 90057133. The reversal of 90057132 is 23175009.

90057132 is a `hidden beast` number, since 90 + 0 + 571 + 3 + 2 = 666.

It is a super-2 number, since 2×90057132² = 16220574048130848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90057096 and 90057105.

It is not an unprimeable number, because it can be changed into a prime (90057133) 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, 109282 + ... + 110102.

It is an arithmetic number, because the mean of its divisors is an integer number (3465826).

Almost surely, 2^90057132 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 90057132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124769736).

90057132 is an abundant number, since it is smaller than the sum of its proper divisors (159482340).

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

90057132 is a wasteful number, since it uses less digits than its factorization.

90057132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90057132 is about 9489.8436235799. The cubic root of 90057132 is about 448.2352811219.

The spelling of 90057132 in words is "ninety million, fifty-seven thousand, one hundred thirty-two".