90753864 has 64 divisors (see below), whose sum is σ = 235683840. Its totient is φ = 29090880.

The previous prime is 90753809. The next prime is 90753877. The reversal of 90753864 is 46835709.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165639 + ... + 166185.

It is an arithmetic number, because the mean of its divisors is an integer number (3682560).

Almost surely, 2^90753864 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 90753864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117841920).

90753864 is an abundant number, since it is smaller than the sum of its proper divisors (144929976).

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

90753864 is a wasteful number, since it uses less digits than its factorization.

90753864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 90753864 is about 9526.4822468737. The cubic root of 90753864 is about 449.3882452671.

The spelling of 90753864 in words is "ninety million, seven hundred fifty-three thousand, eight hundred sixty-four".