90093792 has 48 divisors (see below), whose sum is σ = 236984832. Its totient is φ = 29969280.

The previous prime is 90093739. The next prime is 90093797. The reversal of 90093792 is 29739009.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90093792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90093797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90417 + ... + 91407.

It is an arithmetic number, because the mean of its divisors is an integer number (4937184).

Almost surely, 2^90093792 is an apocalyptic number.

It is an amenable number.

90093792 is an abundant number, since it is smaller than the sum of its proper divisors (146891040).

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

90093792 is a wasteful number, since it uses less digits than its factorization.

90093792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 90093792 is about 9491.7749657269. The cubic root of 90093792 is about 448.2960946515.

The spelling of 90093792 in words is "ninety million, ninety-three thousand, seven hundred ninety-two".