992160 has 144 divisors (see below), whose sum is σ = 3714984. Its totient is φ = 239616.

The previous prime is 992153. The next prime is 992179. The reversal of 992160 is 61299.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 266256 = 852^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 18694 + ... + 18746.

2⁹⁹²¹⁶⁰ is an apocalyptic number.

992160 is a gapful number since it is divisible by the number (90) 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 992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492).

992160 is an abundant number, since it is smaller than the sum of its proper divisors (2722824).

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

992160 is a wasteful number, since it uses less digits than its factorization.

992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 992160 is about 996.0722865335. The cubic root of 992160 is about 99.7379807253.

The spelling of 992160 in words is "nine hundred ninety-two thousand, one hundred sixty".