90333792 has 72 divisors (see below), whose sum is σ = 266423976. Its totient is φ = 30108672.

The previous prime is 90333791. The next prime is 90333821. The reversal of 90333792 is 29733309.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90333791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (3700333).

Almost surely, 2^90333792 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 90333792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133211988).

90333792 is an abundant number, since it is smaller than the sum of its proper divisors (176090184).

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

90333792 is a wasteful number, since it uses less digits than its factorization.

90333792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11642 (or 11622 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 90333792 is about 9504.4090821050. The cubic root of 90333792 is about 448.6938122764.

It can be divided in two parts, 90333 and 792, that added together give a cube (91125 = 45³).

The spelling of 90333792 in words is "ninety million, three hundred thirty-three thousand, seven hundred ninety-two".