126681840 has 160 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 33502464.

The previous prime is 126681817. The next prime is 126681851. The reversal of 126681840 is 48186621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126681795 and 126681804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481549 + ... + 481811.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^126681840 is an apocalyptic number.

126681840 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 126681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

126681840 is an abundant number, since it is smaller than the sum of its proper divisors (313290000).

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

126681840 is a wasteful number, since it uses less digits than its factorization.

126681840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 126681840 is about 11255.3027502595. The cubic root of 126681840 is about 502.2324706477.

The spelling of 126681840 in words is "one hundred twenty-six million, six hundred eighty-one thousand, eight hundred forty".