90007992 has 96 divisors (see below), whose sum is σ = 251877600. Its totient is φ = 29023488.

The previous prime is 90007937. The next prime is 90008021. The reversal of 90007992 is 29970009.

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

It is a congruent number.

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, 392934 + ... + 393162.

It is an arithmetic number, because the mean of its divisors is an integer number (2623725).

Almost surely, 2^90007992 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 90007992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125938800).

90007992 is an abundant number, since it is smaller than the sum of its proper divisors (161869608).

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

90007992 is a wasteful number, since it uses less digits than its factorization.

90007992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 90007992 is about 9487.2541865389. The cubic root of 90007992 is about 448.1537392211.

The spelling of 90007992 in words is "ninety million, seven thousand, nine hundred ninety-two".