126564 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 41184.

The previous prime is 126551. The next prime is 126583. The reversal of 126564 is 465621.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

126564 is an abundant number, since it is smaller than the sum of its proper divisors (175836).

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

126564 is a wasteful number, since it uses less digits than its factorization.

126564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 126564 is about 355.7583449478. The cubic root of 126564 is about 50.2076696059.

It can be divided in two parts, 1 and 26564, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 126564 in words is "one hundred twenty-six thousand, five hundred sixty-four".