956485120 has 80 divisors (see below), whose sum is σ = 2346925680. Its totient is φ = 373653504.

The previous prime is 956485097. The next prime is 956485147. The reversal of 956485120 is 21584659.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105736 + ... + 114424.

It is an arithmetic number, because the mean of its divisors is an integer number (29336571).

Almost surely, 2^956485120 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 956485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173462840).

956485120 is an abundant number, since it is smaller than the sum of its proper divisors (1390440560).

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

956485120 is an equidigital number, since it uses as much as digits as its factorization.

956485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 956485120 is about 30927.0936235528. The cubic root of 956485120 is about 985.2794074521.

The spelling of 956485120 in words is "nine hundred fifty-six million, four hundred eighty-five thousand, one hundred twenty".