120960896 has 64 divisors (see below), whose sum is σ = 277831680. Its totient is φ = 51383808.

The previous prime is 120960883. The next prime is 120960907. The reversal of 120960896 is 698069021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120960896² = 29263076722245632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113261 + ... + 114323.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2^120960896 is an apocalyptic number.

120960896 is a gapful number since it is divisible by the number (16) 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 120960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915840).

120960896 is an abundant number, since it is smaller than the sum of its proper divisors (156870784).

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

120960896 is a wasteful number, since it uses less digits than its factorization.

120960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 120960896 is about 10998.2224018248. Note that the first 3 decimals coincide. The cubic root of 120960896 is about 494.5554570956. Note that the first 3 decimals are identical.

The spelling of 120960896 in words is "one hundred twenty million, nine hundred sixty thousand, eight hundred ninety-six".