90764280 has 128 divisors (see below), whose sum is σ = 312422400. Its totient is φ = 23414400.

The previous prime is 90764269. The next prime is 90764291. The reversal of 90764280 is 8246709.

90764280 is a `hidden beast` number, since 9 + 0 + 7 + 642 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90764269) and next prime (90764291).

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 31 ways as a sum of consecutive naturals, for example, 32125 + ... + 34835.

It is an arithmetic number, because the mean of its divisors is an integer number (2440800).

Almost surely, 2^90764280 is an apocalyptic number.

90764280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90764280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156211200).

90764280 is an abundant number, since it is smaller than the sum of its proper divisors (221658120).

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

90764280 is a wasteful number, since it uses less digits than its factorization.

90764280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90764280 is about 9527.0289177686. The cubic root of 90764280 is about 449.4054370012.

The spelling of 90764280 in words is "ninety million, seven hundred sixty-four thousand, two hundred eighty".