126824 has 16 divisors (see below), whose sum is σ = 241920. Its totient is φ = 62320.

The previous prime is 126823. The next prime is 126827. The reversal of 126824 is 428621.

126824 = 26² + 27² + ... + 73².

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 126824.

It is not an unprimeable number, because it can be changed into a prime (126823) 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 3 ways as a sum of consecutive naturals, for example, 569 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹²⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

126824 is a deficient number, since it is larger than the sum of its proper divisors (115096).

126824 is a wasteful number, since it uses less digits than its factorization.

126824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 126824 is about 356.1235740582. The cubic root of 126824 is about 50.2420265725.

The spelling of 126824 in words is "one hundred twenty-six thousand, eight hundred twenty-four".