90764640 has 72 divisors (see below), whose sum is σ = 309739248. Its totient is φ = 24203520.

The previous prime is 90764629. The next prime is 90764659. The reversal of 90764640 is 4646709.

90764640 is a `hidden beast` number, since 9 + 0 + 7 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 90764595 and 90764604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30076 + ... + 32955.

It is an arithmetic number, because the mean of its divisors is an integer number (4301934).

Almost surely, 2^90764640 is an apocalyptic number.

90764640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90764640 is an abundant number, since it is smaller than the sum of its proper divisors (218974608).

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

90764640 is a wasteful number, since it uses less digits than its factorization.

90764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63052 (or 63041 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90764640 is about 9527.0478113632. The cubic root of 90764640 is about 449.4060311620.

The spelling of 90764640 in words is "ninety million, seven hundred sixty-four thousand, six hundred forty".