120975764 has 96 divisors (see below), whose sum is σ = 274563072. Its totient is φ = 45360000.

The previous prime is 120975763. The next prime is 120975773. The reversal of 120975764 is 467579021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120975763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801089 + ... + 801239.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 2^120975764 is an apocalyptic number.

120975764 is a gapful number since it is divisible by the number (14) 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 120975764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137281536).

120975764 is an abundant number, since it is smaller than the sum of its proper divisors (153587308).

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

120975764 is a wasteful number, since it uses less digits than its factorization.

120975764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 120975764 is about 10998.8983084671. The cubic root of 120975764 is about 494.5757191514.

The spelling of 120975764 in words is "one hundred twenty million, nine hundred seventy-five thousand, seven hundred sixty-four".