126416 has 10 divisors (see below), whose sum is σ = 244962. Its totient is φ = 63200.

The previous prime is 126397. The next prime is 126421. The reversal of 126416 is 614621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 10816 = 340^2 + 104^2 .

It is a congruent number.

It is an unprimeable number.

126416 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 as a sum of consecutive naturals, namely, 3935 + ... + 3966.

2¹²⁶⁴¹⁶ is an apocalyptic number.

126416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126416 is a deficient number, since it is larger than the sum of its proper divisors (118546).

126416 is an equidigital number, since it uses as much as digits as its factorization.

126416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7903 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 126416 is about 355.5502777386. The cubic root of 126416 is about 50.1880915442.

The spelling of 126416 in words is "one hundred twenty-six thousand, four hundred sixteen".