600864960 has 112 divisors (see below), whose sum is σ = 1913839200. Its totient is φ = 159719424.

The previous prime is 600864947. The next prime is 600864961. The reversal of 600864960 is 69468006.

It is a super-2 number, since 2×600864960² = 722077400311603200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (600864961) 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, 372636 + ... + 374244.

It is an arithmetic number, because the mean of its divisors is an integer number (17087850).

Almost surely, 2^600864960 is an apocalyptic number.

600864960 is a gapful number since it is divisible by the number (60) 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 600864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956919600).

600864960 is an abundant number, since it is smaller than the sum of its proper divisors (1312974240).

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

600864960 is a wasteful number, since it uses less digits than its factorization.

600864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 600864960 is about 24512.5469912859. The cubic root of 600864960 is about 843.8377682087.

The spelling of 600864960 in words is "six hundred million, eight hundred sixty-four thousand, nine hundred sixty".