996677968 has 90 divisors (see below), whose sum is σ = 2297393322. Its totient is φ = 416085120.

The previous prime is 996677959. The next prime is 996677977. The reversal of 996677968 is 869776699.

It is an interprime number because it is at equal distance from previous prime (996677959) and next prime (996677977).

It can be written as a sum of positive squares in only one way, i.e., 690007824 + 306670144 = 26268^2 + 17512^2 .

Its product of digits (61725888) is a multiple of the sum of its prime factors (441).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 5008333 + ... + 5008531.

Almost surely, 2^996677968 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 996677968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148696661).

996677968 is an abundant number, since it is smaller than the sum of its proper divisors (1300715354).

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

996677968 is a wasteful number, since it uses less digits than its factorization.

996677968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 225 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 67.

The square root of 996677968 is about 31570.2069679627. The cubic root of 996677968 is about 998.8914275212.

The spelling of 996677968 in words is "nine hundred ninety-six million, six hundred seventy-seven thousand, nine hundred sixty-eight".