996945120 has 288 divisors, whose sum is σ = 3668281344. Its totient is φ = 245836800.

The previous prime is 996945119. The next prime is 996945163. The reversal of 996945120 is 21549699.

996945120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 1026235 + ... + 1027205.

It is an arithmetic number, because the mean of its divisors is an integer number (12737088).

Almost surely, 2^996945120 is an apocalyptic number.

996945120 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 996945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834140672).

996945120 is an abundant number, since it is smaller than the sum of its proper divisors (2671336224).

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

996945120 is a wasteful number, since it uses less digits than its factorization.

996945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 996945120 is about 31574.4377622152. The cubic root of 996945120 is about 998.9806679819.

The spelling of 996945120 in words is "nine hundred ninety-six million, nine hundred forty-five thousand, one hundred twenty".