996477768 has 128 divisors (see below), whose sum is σ = 3252009600. Its totient is φ = 278726400.

The previous prime is 996477767. The next prime is 996477773. The reversal of 996477768 is 867774699.

996477768 is a `hidden beast` number, since 9 + 96 + 477 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (996477767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14758 + ... + 47018.

It is an arithmetic number, because the mean of its divisors is an integer number (25406325).

Almost surely, 2^996477768 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 996477768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626004800).

996477768 is an abundant number, since it is smaller than the sum of its proper divisors (2255531832).

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

996477768 is a wasteful number, since it uses less digits than its factorization.

996477768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32300 (or 32290 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 996477768 is about 31567.0360978030. The cubic root of 996477768 is about 998.8245415054.

The spelling of 996477768 in words is "nine hundred ninety-six million, four hundred seventy-seven thousand, seven hundred sixty-eight".