126611856 has 160 divisors (see below), whose sum is σ = 419616000. Its totient is φ = 35804160.

The previous prime is 126611851. The next prime is 126611873. The reversal of 126611856 is 658116621.

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 126611856.

It is not an unprimeable number, because it can be changed into a prime (126611851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450436 + ... + 450716.

It is an arithmetic number, because the mean of its divisors is an integer number (2622600).

Almost surely, 2^126611856 is an apocalyptic number.

126611856 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 126611856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209808000).

126611856 is an abundant number, since it is smaller than the sum of its proper divisors (293004144).

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

126611856 is a wasteful number, since it uses less digits than its factorization.

126611856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 126611856 is about 11252.1933861803. The cubic root of 126611856 is about 502.1399693293.

The spelling of 126611856 in words is "one hundred twenty-six million, six hundred eleven thousand, eight hundred fifty-six".