90723864 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 23559360.

The previous prime is 90723859. The next prime is 90723869. The reversal of 90723864 is 46832709.

It is an interprime number because it is at equal distance from previous prime (90723859) and next prime (90723869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90723869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18097 + ... + 22559.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^90723864 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 90723864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

90723864 is an abundant number, since it is smaller than the sum of its proper divisors (194257896).

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

90723864 is a wasteful number, since it uses less digits than its factorization.

90723864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 90723864 is about 9524.9075586065. The cubic root of 90723864 is about 449.3387225524.

The spelling of 90723864 in words is "ninety million, seven hundred twenty-three thousand, eight hundred sixty-four".