90042792 has 96 divisors (see below), whose sum is σ = 273326400. Its totient is φ = 24600576.

The previous prime is 90042763. The next prime is 90042809. The reversal of 90042792 is 29724009.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25384 + ... + 28712.

It is an arithmetic number, because the mean of its divisors is an integer number (2847150).

Almost surely, 2^90042792 is an apocalyptic number.

90042792 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 90042792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136663200).

90042792 is an abundant number, since it is smaller than the sum of its proper divisors (183283608).

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

90042792 is a wasteful number, since it uses less digits than its factorization.

90042792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90042792 is about 9489.0880489118. The cubic root of 90042792 is about 448.2114886879.

The spelling of 90042792 in words is "ninety million, forty-two thousand, seven hundred ninety-two".