5730600960 has 864 divisors, whose sum is σ = 24469361280. Its totient is φ = 1281982464.

The previous prime is 5730600947. The next prime is 5730600961. The reversal of 5730600960 is 690060375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5730600961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121927657 + ... + 121927703.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 2^5730600960 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 5730600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234680640).

5730600960 is an abundant number, since it is smaller than the sum of its proper divisors (18738760320).

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

5730600960 is an equidigital number, since it uses as much as digits as its factorization.

5730600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5730600960 is about 75700.7328894509. The cubic root of 5730600960 is about 1789.5069499164.

The spelling of 5730600960 in words is "five billion, seven hundred thirty million, six hundred thousand, nine hundred sixty".