996122160 has 240 divisors, whose sum is σ = 3776142240. Its totient is φ = 233103360.

The previous prime is 996122147. The next prime is 996122209. The reversal of 996122160 is 61221699.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227512 + ... + 231848.

It is an arithmetic number, because the mean of its divisors is an integer number (15733926).

Almost surely, 2^996122160 is an apocalyptic number.

996122160 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 996122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888071120).

996122160 is an abundant number, since it is smaller than the sum of its proper divisors (2780020080).

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

996122160 is a wasteful number, since it uses less digits than its factorization.

996122160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 996122160 is about 31561.4030106394. The cubic root of 996122160 is about 998.7057122085.

It can be divided in two parts, 9 and 96122160, that added together give a palindrome (96122169).

The spelling of 996122160 in words is "nine hundred ninety-six million, one hundred twenty-two thousand, one hundred sixty".