969093120 has 104 divisors (see below), whose sum is σ = 3100916016. Its totient is φ = 258408448.

The previous prime is 969093101. The next prime is 969093121. The reversal of 969093120 is 21390969.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (969093121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53554 + ... + 69326.

Almost surely, 2^969093120 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 969093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550458008).

969093120 is an abundant number, since it is smaller than the sum of its proper divisors (2131822896).

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

969093120 is a wasteful number, since it uses less digits than its factorization.

969093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 969093120 is about 31130.2605193082. The cubic root of 969093120 is about 989.5897085679.

The spelling of 969093120 in words is "nine hundred sixty-nine million, ninety-three thousand, one hundred twenty".