992720160 has 72 divisors (see below), whose sum is σ = 3387662460. Its totient is φ = 264724992.

The previous prime is 992720159. The next prime is 992720177. The reversal of 992720160 is 61027299.

992720160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 965220624 + 27499536 = 31068^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343255 + ... + 346134.

Almost surely, 2^992720160 is an apocalyptic number.

992720160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

992720160 is an abundant number, since it is smaller than the sum of its proper divisors (2394942300).

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

992720160 is a wasteful number, since it uses less digits than its factorization.

992720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689410 (or 689399 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 992720160 is about 31507.4619733167. The cubic root of 992720160 is about 997.5674742832.

The spelling of 992720160 in words is "nine hundred ninety-two million, seven hundred twenty thousand, one hundred sixty".