90993792 has 128 divisors (see below), whose sum is σ = 261740160. Its totient is φ = 27901952.

The previous prime is 90993781. The next prime is 90993803. The reversal of 90993792 is 29739909.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90993781) and next prime (90993803).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 345853 + ... + 346115.

It is an arithmetic number, because the mean of its divisors is an integer number (2044845).

Almost surely, 2^90993792 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 90993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130870080).

90993792 is an abundant number, since it is smaller than the sum of its proper divisors (170746368).

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

90993792 is a wasteful number, since it uses less digits than its factorization.

90993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 90993792 is about 9539.0666210065. The cubic root of 90993792 is about 449.7839160090.

The spelling of 90993792 in words is "ninety million, nine hundred ninety-three thousand, seven hundred ninety-two".