996361920 has 168 divisors, whose sum is σ = 3440393424. Its totient is φ = 264665088.

The previous prime is 996361879. The next prime is 996361939. The reversal of 996361920 is 29163699.

It is a happy number.

996361920 is a `hidden beast` number, since 9 + 9 + 6 + 3 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998862 + ... + 999858.

Almost surely, 2^996361920 is an apocalyptic number.

996361920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720196712).

996361920 is an abundant number, since it is smaller than the sum of its proper divisors (2444031504).

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

996361920 is a wasteful number, since it uses less digits than its factorization.

996361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 996361920 is about 31565.2010923422. The cubic root of 996361920 is about 998.7858330620.

The spelling of 996361920 in words is "nine hundred ninety-six million, three hundred sixty-one thousand, nine hundred twenty".