5832456960 has 144 divisors (see below), whose sum is σ = 20320957440. Its totient is φ = 1413918720.

The previous prime is 5832456941. The next prime is 5832456967. The reversal of 5832456960 is 696542385.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5832456967) 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, 26800 + ... + 111279.

It is an arithmetic number, because the mean of its divisors is an integer number (141117760).

Almost surely, 2^5832456960 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 5832456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160478720).

5832456960 is an abundant number, since it is smaller than the sum of its proper divisors (14488500480).

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

5832456960 is a wasteful number, since it uses less digits than its factorization.

5832456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138114 (or 138100 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 5832456960 is about 76370.5241569023. The cubic root of 5832456960 is about 1800.0470111179.

The spelling of 5832456960 in words is "five billion, eight hundred thirty-two million, four hundred fifty-six thousand, nine hundred sixty".