956064096 has 144 divisors (see below), whose sum is σ = 2947220640. Its totient is φ = 293978880.

The previous prime is 956064091. The next prime is 956064103. The reversal of 956064096 is 690460659.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956064091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631981 + ... + 633491.

It is an arithmetic number, because the mean of its divisors is an integer number (20466810).

Almost surely, 2^956064096 is an apocalyptic number.

956064096 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 956064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473610320).

956064096 is an abundant number, since it is smaller than the sum of its proper divisors (1991156544).

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

956064096 is a wasteful number, since it uses less digits than its factorization.

956064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 956064096 is about 30920.2861565025. The cubic root of 956064096 is about 985.1348200284.

The spelling of 956064096 in words is "nine hundred fifty-six million, sixty-four thousand, ninety-six".