126764 has 24 divisors (see below), whose sum is σ = 251328. Its totient is φ = 55440.

The previous prime is 126761. The next prime is 126781. The reversal of 126764 is 467621.

It is a super-2 number, since 2×126764² = 32138223392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (126761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1859 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (10472).

2¹²⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

126764 is a deficient number, since it is larger than the sum of its proper divisors (124564).

126764 is a wasteful number, since it uses less digits than its factorization.

126764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 126764 is about 356.0393236709. The cubic root of 126764 is about 50.2341022125.

It can be divided in two parts, 1267 and 64, that added together give a palindrome (1331).

The spelling of 126764 in words is "one hundred twenty-six thousand, seven hundred sixty-four".