996772608 has 144 divisors (see below), whose sum is σ = 3174659040. Its totient is φ = 306671616.

The previous prime is 996772603. The next prime is 996772613. The reversal of 996772608 is 806277699.

It is an interprime number because it is at equal distance from previous prime (996772603) and next prime (996772613).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×996772608³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (996772603) 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 15 ways as a sum of consecutive naturals, for example, 84310 + ... + 95402.

Almost surely, 2^996772608 is an apocalyptic number.

996772608 is the 19968-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587329520).

996772608 is an abundant number, since it is smaller than the sum of its proper divisors (2177886432).

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

996772608 is a wasteful number, since it uses less digits than its factorization.

996772608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 996772608 is about 31571.7058139088. The cubic root of 996772608 is about 998.9230432472.

The spelling of 996772608 in words is "nine hundred ninety-six million, seven hundred seventy-two thousand, six hundred eight".