992839680 has 672 divisors, whose sum is σ = 4296801600. Its totient is φ = 214990848.

The previous prime is 992839667. The next prime is 992839691. The reversal of 992839680 is 86938299.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254711 + ... + 52254729.

It is an arithmetic number, because the mean of its divisors is an integer number (6394050).

Almost surely, 2^992839680 is an apocalyptic number.

992839680 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 992839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148400800).

992839680 is an abundant number, since it is smaller than the sum of its proper divisors (3303961920).

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

992839680 is an equidigital number, since it uses as much as digits as its factorization.

992839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 992839680 is about 31509.3586097845. The cubic root of 992839680 is about 997.6075072098.

Adding to 992839680 its product of nonzero digits (1679616), we get a square (994519296 = 31536²).

The spelling of 992839680 in words is "nine hundred ninety-two million, eight hundred thirty-nine thousand, six hundred eighty".