126017856 has 196 divisors, whose sum is σ = 390336532. Its totient is φ = 40310784.

The previous prime is 126017839. The next prime is 126017867. The reversal of 126017856 is 658710621.

It can be written as a sum of positive squares in 2 ways, for example, as 94478400 + 31539456 = 9720^2 + 5616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 126017856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1726236 + ... + 1726308.

Almost surely, 2^126017856 is an apocalyptic number.

126017856 is a gapful number since it is divisible by the number (16) 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 126017856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195168266).

126017856 is an abundant number, since it is smaller than the sum of its proper divisors (264318676).

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

126017856 is an frugal number, since it uses more digits than its factorization.

126017856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 126017856 is about 11225.7675016009. The cubic root of 126017856 is about 501.3534742424.

The spelling of 126017856 in words is "one hundred twenty-six million, seventeen thousand, eight hundred fifty-six".