600864 has 48 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 181760.

The previous prime is 600857. The next prime is 600877. The reversal of 600864 is 468006.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×600864² = 722075092992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁶⁰⁰⁸⁶⁴ 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 600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

600864 is an abundant number, since it is smaller than the sum of its proper divisors (1122816).

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

600864 is a wasteful number, since it uses less digits than its factorization.

600864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 600864 is about 775.1541782123. The cubic root of 600864 is about 84.3837318810.

It can be divided in two parts, 600 and 864, that multiplied together give a square (518400 = 720²).

The spelling of 600864 in words is "six hundred thousand, eight hundred sixty-four".