992927520 has 576 divisors, whose sum is σ = 3962649600. Its totient is φ = 224501760.

The previous prime is 992927501. The next prime is 992927527. The reversal of 992927520 is 25729299.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (992927527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16829251 + ... + 16829309.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^992927520 is an apocalyptic number.

992927520 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 992927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

992927520 is an abundant number, since it is smaller than the sum of its proper divisors (2969722080).

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

992927520 is a wasteful number, since it uses less digits than its factorization.

992927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 992927520 is about 31510.7524505525. The cubic root of 992927520 is about 997.6369269510.

The spelling of 992927520 in words is "nine hundred ninety-two million, nine hundred twenty-seven thousand, five hundred twenty".