956872224 has 384 divisors, whose sum is σ = 3667507200. Its totient is φ = 235146240.

The previous prime is 956872219. The next prime is 956872237. The reversal of 956872224 is 422278659.

It is a self number, because there is not a number n which added to its sum of digits gives 956872224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263654 + ... + 1264410.

It is an arithmetic number, because the mean of its divisors is an integer number (9550800).

Almost surely, 2^956872224 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 956872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833753600).

956872224 is an abundant number, since it is smaller than the sum of its proper divisors (2710634976).

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

956872224 is a wasteful number, since it uses less digits than its factorization.

956872224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 799 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 956872224 is about 30933.3513218339. The cubic root of 956872224 is about 985.4123086860.

The spelling of 956872224 in words is "nine hundred fifty-six million, eight hundred seventy-two thousand, two hundred twenty-four".