126617088 has 160 divisors (see below), whose sum is σ = 385662816. Its totient is φ = 36569088.

The previous prime is 126617041. The next prime is 126617089. The reversal of 126617088 is 880716621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126617089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339270 + ... + 339642.

Almost surely, 2^126617088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126617088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192831408).

126617088 is an abundant number, since it is smaller than the sum of its proper divisors (259045728).

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

126617088 is a wasteful number, since it uses less digits than its factorization.

126617088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 126617088 is about 11252.4258717843. The cubic root of 126617088 is about 502.1468859015.

The spelling of 126617088 in words is "one hundred twenty-six million, six hundred seventeen thousand, eighty-eight".