992616768 has 420 divisors, whose sum is σ = 3509576928. Its totient is φ = 274959360.

The previous prime is 992616761. The next prime is 992616803. The reversal of 992616768 is 867616299.

It is a super-2 number, since 2×992616768² = 1970576096229531648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992616761) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 9637005 + ... + 9637107.

Almost surely, 2^992616768 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 992616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754788464).

992616768 is an abundant number, since it is smaller than the sum of its proper divisors (2516960160).

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

992616768 is a wasteful number, since it uses less digits than its factorization.

992616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 992616768 is about 31505.8211764112. The cubic root of 992616768 is about 997.5328407979.

The spelling of 992616768 in words is "nine hundred ninety-two million, six hundred sixteen thousand, seven hundred sixty-eight".