956161824 has 96 divisors (see below), whose sum is σ = 2590209216. Its totient is φ = 308689920.

The previous prime is 956161823. The next prime is 956161841. The reversal of 956161824 is 428161659.

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

It is not an unprimeable number, because it can be changed into a prime (956161823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391134 + ... + 393570.

It is an arithmetic number, because the mean of its divisors is an integer number (26981346).

Almost surely, 2^956161824 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 956161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295104608).

956161824 is an abundant number, since it is smaller than the sum of its proper divisors (1634047392).

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

956161824 is a wasteful number, since it uses less digits than its factorization.

956161824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2570 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 956161824 is about 30921.8664378462. The cubic root of 956161824 is about 985.1683854124.

The spelling of 956161824 in words is "nine hundred fifty-six million, one hundred sixty-one thousand, eight hundred twenty-four".