90853632 has 108 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 29604864.

The previous prime is 90853621. The next prime is 90853669. The reversal of 90853632 is 23635809.

90853632 is a `hidden beast` number, since 90 + 8 + 536 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 107869 + ... + 108707.

Almost surely, 2^90853632 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 90853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

90853632 is an abundant number, since it is smaller than the sum of its proper divisors (176992128).

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

90853632 is a wasteful number, since it uses less digits than its factorization.

90853632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 891 counting only the distinct ones).

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

The square root of 90853632 is about 9531.7171590433. The cubic root of 90853632 is about 449.5528595518.

The spelling of 90853632 in words is "ninety million, eight hundred fifty-three thousand, six hundred thirty-two".