90111792 has 80 divisors (see below), whose sum is σ = 250841088. Its totient is φ = 27793920.

The previous prime is 90111767. The next prime is 90111793. The reversal of 90111792 is 29711109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90111793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32908 + ... + 35540.

Almost surely, 2^90111792 is an apocalyptic number.

90111792 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90111792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125420544).

90111792 is an abundant number, since it is smaller than the sum of its proper divisors (160729296).

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

90111792 is a wasteful number, since it uses less digits than its factorization.

90111792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 90111792 is about 9492.7231077284. The cubic root of 90111792 is about 448.3259479566.

The spelling of 90111792 in words is "ninety million, one hundred eleven thousand, seven hundred ninety-two".