992332160 has 128 divisors (see below), whose sum is σ = 2529273600. Its totient is φ = 370999296.

The previous prime is 992332127. The next prime is 992332169. The reversal of 992332160 is 61233299.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 992332160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992332169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426036 + ... + 2426444.

It is an arithmetic number, because the mean of its divisors is an integer number (19759950).

Almost surely, 2^992332160 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 992332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264636800).

992332160 is an abundant number, since it is smaller than the sum of its proper divisors (1536941440).

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

992332160 is a wasteful number, since it uses less digits than its factorization.

992332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 992332160 is about 31501.3040999893. The cubic root of 992332160 is about 997.4374924975.

The spelling of 992332160 in words is "nine hundred ninety-two million, three hundred thirty-two thousand, one hundred sixty".