120864380 has 144 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 37320192.

The previous prime is 120864371. The next prime is 120864383. The reversal of 120864380 is 83468021.

It is a super-3 number, since 3×120864380³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120864383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675131 + ... + 675309.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^120864380 is an apocalyptic number.

120864380 is a gapful number since it is divisible by the number (10) 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 120864380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

120864380 is an abundant number, since it is smaller than the sum of its proper divisors (204911140).

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

120864380 is a wasteful number, since it uses less digits than its factorization.

120864380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 120864380 is about 10993.8337262304. The cubic root of 120864380 is about 494.4238850555.

The spelling of 120864380 in words is "one hundred twenty million, eight hundred sixty-four thousand, three hundred eighty".