126726656 has 80 divisors (see below), whose sum is σ = 304772160. Its totient is φ = 51425280.

The previous prime is 126726629. The next prime is 126726659. The reversal of 126726656 is 656627621.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (126726659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67166 + ... + 69026.

It is an arithmetic number, because the mean of its divisors is an integer number (3809652).

Almost surely, 2^126726656 is an apocalyptic number.

126726656 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 126726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152386080).

126726656 is an abundant number, since it is smaller than the sum of its proper divisors (178045504).

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

126726656 is an equidigital number, since it uses as much as digits as its factorization.

126726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1889 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 126726656 is about 11257.2934580209. The cubic root of 126726656 is about 502.2916882822.

The spelling of 126726656 in words is "one hundred twenty-six million, seven hundred twenty-six thousand, six hundred fifty-six".