90538632 has 96 divisors (see below), whose sum is σ = 252720000. Its totient is φ = 29272320.

The previous prime is 90538621. The next prime is 90538673. The reversal of 90538632 is 23683509.

90538632 is a `hidden beast` number, since 90 + 538 + 6 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454869 + ... + 455067.

It is an arithmetic number, because the mean of its divisors is an integer number (2632500).

Almost surely, 2^90538632 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 90538632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360000).

90538632 is an abundant number, since it is smaller than the sum of its proper divisors (162181368).

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

90538632 is a wasteful number, since it uses less digits than its factorization.

90538632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90538632 is about 9515.1790314213. The cubic root of 90538632 is about 449.0327074419.

The spelling of 90538632 in words is "ninety million, five hundred thirty-eight thousand, six hundred thirty-two".