992520 has 64 divisors (see below), whose sum is σ = 3312000. Its totient is φ = 264384.

The previous prime is 992513. The next prime is 992521. The reversal of 992520 is 25299.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992520.

It is not an unprimeable number, because it can be changed into a prime (992521) by changing a digit.

992520 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 15 ways as a sum of consecutive naturals, for example, 621 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (51750).

2⁹⁹²⁵²⁰ is an apocalyptic number.

992520 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 992520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656000).

992520 is an abundant number, since it is smaller than the sum of its proper divisors (2319480).

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

992520 is a wasteful number, since it uses less digits than its factorization.

992520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 992520 is about 996.2529799203. The cubic root of 992520 is about 99.7500423992.

It can be divided in two parts, 9 and 92520, that added together give a palindrome (92529).

The spelling of 992520 in words is "nine hundred ninety-two thousand, five hundred twenty".