126810 has 24 divisors (see below), whose sum is σ = 329940. Its totient is φ = 33792.

The previous prime is 126781. The next prime is 126823. The reversal of 126810 is 18621.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 19881 = 327^2 + 141^2 .

It is a super-2 number, since 2×126810² = 32161552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

126810 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 11 ways as a sum of consecutive naturals, for example, 615 + ... + 794.

2¹²⁶⁸¹⁰ is an apocalyptic number.

126810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126810 is an abundant number, since it is smaller than the sum of its proper divisors (203130).

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

126810 is a wasteful number, since it uses less digits than its factorization.

126810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 126810 is about 356.1039174174. The cubic root of 126810 is about 50.2401777787.

The spelling of 126810 in words is "one hundred twenty-six thousand, eight hundred ten".