956080 has 80 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 331776.

The previous prime is 956057. The next prime is 956083. The reversal of 956080 is 80659.

956080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (956083) 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, 25822 + ... + 25858.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁹⁵⁶⁰⁸⁰ 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 956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

956080 is an abundant number, since it is smaller than the sum of its proper divisors (1588400).

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

956080 is a wasteful number, since it uses less digits than its factorization.

956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 956080 is about 977.7934342181. The cubic root of 956080 is about 98.5140282527.

It can be divided in two parts, 95 and 6080, that multiplied together give a square (577600 = 760²).

The spelling of 956080 in words is "nine hundred fifty-six thousand, eighty".