126267840 has 168 divisors, whose sum is σ = 460034640. Its totient is φ = 31678464.

The previous prime is 126267821. The next prime is 126267859. The reversal of 126267840 is 48762621.

It is an interprime number because it is at equal distance from previous prime (126267821) and next prime (126267859).

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 = 126267795 and 126267804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47671 + ... + 50249.

Almost surely, 2^126267840 is an apocalyptic number.

126267840 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 126267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230017320).

126267840 is an abundant number, since it is smaller than the sum of its proper divisors (333766800).

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

126267840 is a wasteful number, since it uses less digits than its factorization.

126267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126267840 is about 11236.8963686598. The cubic root of 126267840 is about 501.6847700569.

The spelling of 126267840 in words is "one hundred twenty-six million, two hundred sixty-seven thousand, eight hundred forty".