120408640 has 112 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 43130880.

The previous prime is 120408623. The next prime is 120408649. The reversal of 120408640 is 46804021.

It is not an unprimeable number, because it can be changed into a prime (120408649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277864 + ... + 278296.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2^120408640 is an apocalyptic number.

120408640 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 120408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

120408640 is an abundant number, since it is smaller than the sum of its proper divisors (197071040).

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

120408640 is a wasteful number, since it uses less digits than its factorization.

120408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 120408640 is about 10973.0870770262. The cubic root of 120408640 is about 493.8016654797.

The spelling of 120408640 in words is "one hundred twenty million, four hundred eight thousand, six hundred forty".