996177312 has 192 divisors, whose sum is σ = 3231083520. Its totient is φ = 296524800.

The previous prime is 996177257. The next prime is 996177323. The reversal of 996177312 is 213771699.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346762 + ... + 349622.

It is an arithmetic number, because the mean of its divisors is an integer number (16828560).

Almost surely, 2^996177312 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 996177312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615541760).

996177312 is an abundant number, since it is smaller than the sum of its proper divisors (2234906208).

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

996177312 is a wasteful number, since it uses less digits than its factorization.

996177312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2910 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 996177312 is about 31562.2767239627. The cubic root of 996177312 is about 998.7241435493.

It can be divided in two parts, 99617 and 7312, that added together give a square (106929 = 327²).

The spelling of 996177312 in words is "nine hundred ninety-six million, one hundred seventy-seven thousand, three hundred twelve".