120752640 has 160 divisors (see below), whose sum is σ = 429168960. Its totient is φ = 32182272.

The previous prime is 120752629. The next prime is 120752641. The reversal of 120752640 is 46257021.

120752640 is a `hidden beast` number, since 12 + 0 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120752641) 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, 68247 + ... + 69993.

It is an arithmetic number, because the mean of its divisors is an integer number (2682306).

Almost surely, 2^120752640 is an apocalyptic number.

120752640 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 120752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214584480).

120752640 is an abundant number, since it is smaller than the sum of its proper divisors (308416320).

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

120752640 is an equidigital number, since it uses as much as digits as its factorization.

120752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120752640 is about 10988.7506114208. The cubic root of 120752640 is about 494.2714719154.

The spelling of 120752640 in words is "one hundred twenty million, seven hundred fifty-two thousand, six hundred forty".