956669672 has 64 divisors (see below), whose sum is σ = 2145408000. Its totient is φ = 391288320.

The previous prime is 956669647. The next prime is 956669689. The reversal of 956669672 is 276966659.

956669672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×956669672² = 1830433722649175168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122954 + ... + 130502.

It is an arithmetic number, because the mean of its divisors is an integer number (33522000).

Almost surely, 2^956669672 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 956669672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072704000).

956669672 is an abundant number, since it is smaller than the sum of its proper divisors (1188738328).

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

956669672 is a wasteful number, since it uses less digits than its factorization.

956669672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7662 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 56.

The square root of 956669672 is about 30930.0771418372. The cubic root of 956669672 is about 985.3427726447.

The spelling of 956669672 in words is "nine hundred fifty-six million, six hundred sixty-nine thousand, six hundred seventy-two".