126264 has 16 divisors (see below), whose sum is σ = 315720. Its totient is φ = 42080.

The previous prime is 126257. The next prime is 126271. The reversal of 126264 is 462621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126257) and next prime (126271).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126264.

It is a congruent number.

It is an unprimeable number.

126264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2607 + ... + 2654.

2¹²⁶²⁶⁴ is an apocalyptic number.

It is an amenable number.

126264 is an abundant number, since it is smaller than the sum of its proper divisors (189456).

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

126264 is a wasteful number, since it uses less digits than its factorization.

126264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5266 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 126264 is about 355.3364602739. The cubic root of 126264 is about 50.1679684336.

Adding to 126264 its reverse (462621), we get a palindrome (588885).

It can be divided in two parts, 1262 and 64, that added together give a triangular number (1326 = T₅₁).

The spelling of 126264 in words is "one hundred twenty-six thousand, two hundred sixty-four".