120846096 has 120 divisors (see below), whose sum is σ = 390671424. Its totient is φ = 34156800.

The previous prime is 120846067. The next prime is 120846097. The reversal of 120846096 is 690648021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120846096.

It is not an unprimeable number, because it can be changed into a prime (120846097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101215 + ... + 102401.

Almost surely, 2^120846096 is an apocalyptic number.

120846096 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 120846096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195335712).

120846096 is an abundant number, since it is smaller than the sum of its proper divisors (269825328).

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

120846096 is a wasteful number, since it uses less digits than its factorization.

120846096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 120846096 is about 10993.0021377238. The cubic root of 120846096 is about 494.3989521453.

The spelling of 120846096 in words is "one hundred twenty million, eight hundred forty-six thousand, ninety-six".