120893344 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 48921600.

The previous prime is 120893323. The next prime is 120893347. The reversal of 120893344 is 443398021.

It is not an unprimeable number, because it can be changed into a prime (120893347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132249 + ... + 133159.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^120893344 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 120893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

120893344 is an abundant number, since it is smaller than the sum of its proper divisors (168684896).

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

120893344 is a wasteful number, since it uses less digits than its factorization.

120893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 120893344 is about 10995.1509312060. The cubic root of 120893344 is about 494.4633765628.

The spelling of 120893344 in words is "one hundred twenty million, eight hundred ninety-three thousand, three hundred forty-four".