126816 has 24 divisors (see below), whose sum is σ = 333144. Its totient is φ = 42240.

The previous prime is 126781. The next prime is 126823. The reversal of 126816 is 618621.

126816 = 9² + 10² + ... + 72².

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 565 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (13881).

2¹²⁶⁸¹⁶ is an apocalyptic number.

126816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126816 is an abundant number, since it is smaller than the sum of its proper divisors (206328).

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

126816 is a wasteful number, since it uses less digits than its factorization.

126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 126816 is about 356.1123418249. The cubic root of 126816 is about 50.2409701356.

The spelling of 126816 in words is "one hundred twenty-six thousand, eight hundred sixteen".