969045120 has 448 divisors, whose sum is σ = 3638903040. Its totient is φ = 246343680.

The previous prime is 969045113. The next prime is 969045137. The reversal of 969045120 is 21540969.

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 55 ways as a sum of consecutive naturals, for example, 14463327 + ... + 14463393.

Almost surely, 2^969045120 is an apocalyptic number.

969045120 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 969045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819451520).

969045120 is an abundant number, since it is smaller than the sum of its proper divisors (2669857920).

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

969045120 is an equidigital number, since it uses as much as digits as its factorization.

969045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 969045120 is about 31129.4895557251. The cubic root of 969045120 is about 989.5733698937.

The spelling of 969045120 in words is "nine hundred sixty-nine million, forty-five thousand, one hundred twenty".