126275680 has 48 divisors (see below), whose sum is σ = 303975504. Its totient is φ = 49553920.

The previous prime is 126275659. The next prime is 126275683. The reversal of 126275680 is 86572621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126275683) 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, 1035 + ... + 15925.

It is an arithmetic number, because the mean of its divisors is an integer number (6332823).

Almost surely, 2^126275680 is an apocalyptic number.

126275680 is a gapful number since it is divisible by the number (10) 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 126275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151987752).

126275680 is an abundant number, since it is smaller than the sum of its proper divisors (177699824).

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

126275680 is a wasteful number, since it uses less digits than its factorization.

126275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14959 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 126275680 is about 11237.2452140193. The cubic root of 126275680 is about 501.6951530839.

The spelling of 126275680 in words is "one hundred twenty-six million, two hundred seventy-five thousand, six hundred eighty".