959268120 has 128 divisors (see below), whose sum is σ = 2954327040. Its totient is φ = 249062400.

The previous prime is 959268097. The next prime is 959268131. The reversal of 959268120 is 21862959.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595820 + ... + 1596420.

It is an arithmetic number, because the mean of its divisors is an integer number (23080680).

Almost surely, 2^959268120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477163520).

959268120 is an abundant number, since it is smaller than the sum of its proper divisors (1995058920).

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

959268120 is a wasteful number, since it uses less digits than its factorization.

959268120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 959268120 is about 30972.0538550481. The cubic root of 959268120 is about 986.2340755411.

The spelling of 959268120 in words is "nine hundred fifty-nine million, two hundred sixty-eight thousand, one hundred twenty".