126840 has 64 divisors (see below), whose sum is σ = 437760. Its totient is φ = 28800.

The previous prime is 126839. The next prime is 126851. The reversal of 126840 is 48621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹²⁶⁸⁴⁰ is an apocalyptic number.

126840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880).

126840 is an abundant number, since it is smaller than the sum of its proper divisors (310920).

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

126840 is a wasteful number, since it uses less digits than its factorization.

126840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 126840 is about 356.1460374622. The cubic root of 126840 is about 50.2441393130.

The spelling of 126840 in words is "one hundred twenty-six thousand, eight hundred forty".