90312768 has 168 divisors, whose sum is σ = 318788288. Its totient is φ = 23804928.

The previous prime is 90312751. The next prime is 90312773. The reversal of 90312768 is 86721309.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51555 + ... + 53277.

Almost surely, 2^90312768 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 90312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159394144).

90312768 is an abundant number, since it is smaller than the sum of its proper divisors (228475520).

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

90312768 is a wasteful number, since it uses less digits than its factorization.

90312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90312768 is about 9503.3030047452. The cubic root of 90312768 is about 448.6590003844.

The spelling of 90312768 in words is "ninety million, three hundred twelve thousand, seven hundred sixty-eight".