956482080 has 96 divisors (see below), whose sum is σ = 3044127744. Its totient is φ = 252420096.

The previous prime is 956482073. The next prime is 956482081. The reversal of 956482080 is 80284659.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×956482080² = 1829715938722252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (956482081) 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, 36289 + ... + 56831.

It is an arithmetic number, because the mean of its divisors is an integer number (31709664).

Almost surely, 2^956482080 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 956482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522063872).

956482080 is an abundant number, since it is smaller than the sum of its proper divisors (2087645664).

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

956482080 is a wasteful number, since it uses less digits than its factorization.

956482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20658 (or 20650 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 956482080 is about 30927.0444756689. The cubic root of 956482080 is about 985.2783636120.

The spelling of 956482080 in words is "nine hundred fifty-six million, four hundred eighty-two thousand, eighty".