992624880 has 120 divisors (see below), whose sum is σ = 3332184048. Its totient is φ = 244328448.

The previous prime is 992624851. The next prime is 992624881. The reversal of 992624880 is 88426299.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992624881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28324 + ... + 52796.

Almost surely, 2^992624880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666092024).

992624880 is an abundant number, since it is smaller than the sum of its proper divisors (2339559168).

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

992624880 is a wasteful number, since it uses less digits than its factorization.

992624880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24515 (or 24496 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 992624880 is about 31505.9499142622. The cubic root of 992624880 is about 997.5355581824.

The spelling of 992624880 in words is "nine hundred ninety-two million, six hundred twenty-four thousand, eight hundred eighty".