992680416 has 288 divisors, whose sum is σ = 3549873600. Its totient is φ = 261467136.

The previous prime is 992680349. The next prime is 992680427. The reversal of 992680416 is 614086299.

It is a happy number.

992680416 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283806 + ... + 1284578.

It is an arithmetic number, because the mean of its divisors is an integer number (12325950).

Almost surely, 2^992680416 is an apocalyptic number.

992680416 is a gapful number since it is divisible by the number (96) 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 992680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774936800).

992680416 is an abundant number, since it is smaller than the sum of its proper divisors (2557193184).

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

992680416 is a wasteful number, since it uses less digits than its factorization.

992680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 992680416 is about 31506.8312592682. The cubic root of 992680416 is about 997.5541614174.

The spelling of 992680416 in words is "nine hundred ninety-two million, six hundred eighty thousand, four hundred sixteen".