600851264 has 112 divisors (see below), whose sum is σ = 1419441408. Its totient is φ = 249520128.

The previous prime is 600851257. The next prime is 600851297. The reversal of 600851264 is 462158006.

It is a super-2 number, since 2×600851264² = 722044482900795392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 600851264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324389 + ... + 326235.

It is an arithmetic number, because the mean of its divisors is an integer number (12673584).

Almost surely, 2^600851264 is an apocalyptic number.

600851264 is a gapful number since it is divisible by the number (64) 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 600851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709720704).

600851264 is an abundant number, since it is smaller than the sum of its proper divisors (818590144).

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

600851264 is a wasteful number, since it uses less digits than its factorization.

600851264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 600851264 is about 24512.2676225599. The cubic root of 600851264 is about 843.8313567349.

The spelling of 600851264 in words is "six hundred million, eight hundred fifty-one thousand, two hundred sixty-four".