90295632 has 180 divisors, whose sum is σ = 299909376. Its totient is φ = 25280640.

The previous prime is 90295627. The next prime is 90295637. The reversal of 90295632 is 23659209.

90295632 is a `hidden beast` number, since 90 + 2 + 9 + 563 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (90295627) and next prime (90295637).

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 not an unprimeable number, because it can be changed into a prime (90295637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472657 + ... + 472847.

Almost surely, 2^90295632 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 90295632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149954688).

90295632 is an abundant number, since it is smaller than the sum of its proper divisors (209613744).

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

90295632 is a wasteful number, since it uses less digits than its factorization.

90295632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90295632 is about 9502.4013807037. The cubic root of 90295632 is about 448.6306223115.

The spelling of 90295632 in words is "ninety million, two hundred ninety-five thousand, six hundred thirty-two".