90764520 has 384 divisors, whose sum is σ = 367718400. Its totient is φ = 17487360.

The previous prime is 90764507. The next prime is 90764521. The reversal of 90764520 is 2546709.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90764521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931137 + ... + 1931183.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^90764520 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 90764520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

90764520 is an abundant number, since it is smaller than the sum of its proper divisors (276953880).

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

90764520 is a wasteful number, since it uses less digits than its factorization.

90764520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 90764520 is about 9527.0415135025. The cubic root of 90764520 is about 449.4058331086.

The spelling of 90764520 in words is "ninety million, seven hundred sixty-four thousand, five hundred twenty".