992880 has 120 divisors (see below), whose sum is σ = 3830112. Its totient is φ = 225792.

The previous prime is 992867. The next prime is 992891. The reversal of 992880 is 88299.

992880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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.

992880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4942 + ... + 5138.

2⁹⁹²⁸⁸⁰ is an apocalyptic number.

992880 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 992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915056).

992880 is an abundant number, since it is smaller than the sum of its proper divisors (2837232).

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

992880 is a wasteful number, since it uses less digits than its factorization.

992880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 992880 is about 996.4336405401. The cubic root of 992880 is about 99.7621011569.

The spelling of 992880 in words is "nine hundred ninety-two thousand, eight hundred eighty".