956445216 has 96 divisors (see below), whose sum is σ = 2583060480. Its totient is φ = 309705984.

The previous prime is 956445209. The next prime is 956445247. The reversal of 956445216 is 612544659.

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

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, 920025 + ... + 921063.

It is an arithmetic number, because the mean of its divisors is an integer number (26906880).

Almost surely, 2^956445216 is an apocalyptic number.

956445216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291530240).

956445216 is an abundant number, since it is smaller than the sum of its proper divisors (1626615264).

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

956445216 is a wasteful number, since it uses less digits than its factorization.

956445216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 956445216 is about 30926.4484866918. The cubic root of 956445216 is about 985.2657055013.

The spelling of 956445216 in words is "nine hundred fifty-six million, four hundred forty-five thousand, two hundred sixteen".