126688656 has 80 divisors (see below), whose sum is σ = 351138240. Its totient is φ = 39237120.

The previous prime is 126688651. The next prime is 126688663. The reversal of 126688656 is 656886621.

It is a happy number.

It is a super-4 number, since 4×126688656⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (126688651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47026 + ... + 49646.

It is an arithmetic number, because the mean of its divisors is an integer number (4389228).

Almost surely, 2^126688656 is an apocalyptic number.

126688656 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 126688656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175569120).

126688656 is an abundant number, since it is smaller than the sum of its proper divisors (224449584).

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

126688656 is a wasteful number, since it uses less digits than its factorization.

126688656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2698 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 126688656 is about 11255.6055367981. The cubic root of 126688656 is about 502.2414778717.

The spelling of 126688656 in words is "one hundred twenty-six million, six hundred eighty-eight thousand, six hundred fifty-six".