956016 has 40 divisors (see below), whose sum is σ = 2745360. Its totient is φ = 318528.

The previous prime is 956003. The next prime is 956051. The reversal of 956016 is 610659.

956016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

956016 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 7 ways as a sum of consecutive naturals, for example, 675 + ... + 1538.

It is an arithmetic number, because the mean of its divisors is an integer number (68634).

2⁹⁵⁶⁰¹⁶ is an apocalyptic number.

It is an amenable number.

956016 is an abundant number, since it is smaller than the sum of its proper divisors (1789344).

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

956016 is a wasteful number, since it uses less digits than its factorization.

956016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 956016 is about 977.7607069217. The cubic root of 956016 is about 98.5118300272.

The spelling of 956016 in words is "nine hundred fifty-six thousand, sixteen".