90152784 has 40 divisors (see below), whose sum is σ = 258773120. Its totient is φ = 30050784.

The previous prime is 90152761. The next prime is 90152789. The reversal of 90152784 is 48725109.

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 (90152789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103912 + ... + 104775.

It is an arithmetic number, because the mean of its divisors is an integer number (6469328).

Almost surely, 2^90152784 is an apocalyptic number.

It is an amenable number.

90152784 is an abundant number, since it is smaller than the sum of its proper divisors (168620336).

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

90152784 is a wasteful number, since it uses less digits than its factorization.

90152784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208704 (or 208692 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90152784 is about 9494.8819897880. The cubic root of 90152784 is about 448.3939190506.

The spelling of 90152784 in words is "ninety million, one hundred fifty-two thousand, seven hundred eighty-four".