556764 has 48 divisors (see below), whose sum is σ = 1448832. Its totient is φ = 165312.

The previous prime is 556763. The next prime is 556769. The reversal of 556764 is 467655.

It is an Ulam number.

Its product of digits (25200) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556763) 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, 6667 + ... + 6749.

It is an arithmetic number, because the mean of its divisors is an integer number (30184).

2⁵⁵⁶⁷⁶⁴ 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 556764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724416).

556764 is an abundant number, since it is smaller than the sum of its proper divisors (892068).

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

556764 is a wasteful number, since it uses less digits than its factorization.

556764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 556764 is about 746.1662013251. The cubic root of 556764 is about 82.2666315841.

The spelling of 556764 in words is "five hundred fifty-six thousand, seven hundred sixty-four".