956880 has 80 divisors (see below), whose sum is σ = 3303360. Its totient is φ = 254592.

The previous prime is 956861. The next prime is 956881. The reversal of 956880 is 88659.

956880 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 a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956881) by changing a digit.

956880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (41292).

2⁹⁵⁶⁸⁸⁰ is an apocalyptic number.

956880 is a gapful number since it is divisible by the number (90) 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 956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651680).

956880 is an abundant number, since it is smaller than the sum of its proper divisors (2346480).

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

956880 is a wasteful number, since it uses less digits than its factorization.

956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 956880 is about 978.2024330373. The cubic root of 956880 is about 98.5414977989.

The spelling of 956880 in words is "nine hundred fifty-six thousand, eight hundred eighty".