90483792 has 240 divisors, whose sum is σ = 301266432. Its totient is φ = 23224320.

The previous prime is 90483791. The next prime is 90483829. The reversal of 90483792 is 29738409.

It is a super-2 number, since 2×90483792² = 16374633229398528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90483791) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1239468 + ... + 1239540.

Almost surely, 2^90483792 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 90483792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150633216).

90483792 is an abundant number, since it is smaller than the sum of its proper divisors (210782640).

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

90483792 is a wasteful number, since it uses less digits than its factorization.

90483792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 90483792 is about 9512.2968835082. The cubic root of 90483792 is about 448.9420281865.

The spelling of 90483792 in words is "ninety million, four hundred eighty-three thousand, seven hundred ninety-two".