956672 has 36 divisors (see below), whose sum is σ = 1980636. Its totient is φ = 460800.

The previous prime is 956633. The next prime is 956689. The reversal of 956672 is 276659.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 65536 = 944^2 + 256^2 .

Its product of digits (22680) is a multiple of the sum of its prime divisors (140).

It is a nialpdrome in base 16.

It is an unprimeable number.

956672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9422 + ... + 9522.

2⁹⁵⁶⁶⁷² 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 956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990318).

956672 is an abundant number, since it is smaller than the sum of its proper divisors (1023964).

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

956672 is a wasteful number, since it uses less digits than its factorization.

956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 956672 is about 978.0961097970. The cubic root of 956672 is about 98.5343571902.

The spelling of 956672 in words is "nine hundred fifty-six thousand, six hundred seventy-two".