126681408 has 140 divisors (see below), whose sum is σ = 429292512. Its totient is φ = 36184320.

The previous prime is 126681391. The next prime is 126681461. The reversal of 126681408 is 804186621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34543 + ... + 38033.

Almost surely, 2^126681408 is an apocalyptic number.

126681408 is a gapful number since it is divisible by the number (18) 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 126681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214646256).

126681408 is an abundant number, since it is smaller than the sum of its proper divisors (302611104).

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

126681408 is an equidigital number, since it uses as much as digits as its factorization.

126681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3503 counting only the distinct ones).

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

The square root of 126681408 is about 11255.2835592889. The cubic root of 126681408 is about 502.2318997564.

The spelling of 126681408 in words is "one hundred twenty-six million, six hundred eighty-one thousand, four hundred eight".