564600 has 48 divisors (see below), whose sum is σ = 1752120. Its totient is φ = 150400.

The previous prime is 564593. The next prime is 564607. The reversal of 564600 is 6465.

564600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564593) and next prime (564607).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 1070.

2⁵⁶⁴⁶⁰⁰ is an apocalyptic number.

564600 is a gapful number since it is divisible by the number (50) 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 564600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876060).

564600 is an abundant number, since it is smaller than the sum of its proper divisors (1187520).

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

564600 is a wasteful number, since it uses less digits than its factorization.

564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 564600 is about 751.3986957668. The cubic root of 564600 is about 82.6507802748.

It can be divided in two parts, 56 and 4600, that added together give a triangular number (4656 = T₉₆).

The spelling of 564600 in words is "five hundred sixty-four thousand, six hundred".