959853120 has 112 divisors (see below), whose sum is σ = 3055485888. Its totient is φ = 255293440.

The previous prime is 959853101. The next prime is 959853127. The reversal of 959853120 is 21358959.

It is not an unprimeable number, because it can be changed into a prime (959853127) 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, 447250 + ... + 449390.

It is an arithmetic number, because the mean of its divisors is an integer number (27281124).

Almost surely, 2^959853120 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 959853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527742944).

959853120 is an abundant number, since it is smaller than the sum of its proper divisors (2095632768).

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

959853120 is a wasteful number, since it uses less digits than its factorization.

959853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 959853120 is about 30981.4964131819. The cubic root of 959853120 is about 986.4345164398.

The spelling of 959853120 in words is "nine hundred fifty-nine million, eight hundred fifty-three thousand, one hundred twenty".