126727440 has 160 divisors (see below), whose sum is σ = 452280576. Its totient is φ = 28753920.

The previous prime is 126727421. The next prime is 126727441. The reversal of 126727440 is 44727621.

It is not an unprimeable number, because it can be changed into a prime (126727441) 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 31 ways as a sum of consecutive naturals, for example, 404724 + ... + 405036.

Almost surely, 2^126727440 is an apocalyptic number.

126727440 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 126727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226140288).

126727440 is an abundant number, since it is smaller than the sum of its proper divisors (325553136).

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

126727440 is a wasteful number, since it uses less digits than its factorization.

126727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 126727440 is about 11257.3282798362. The cubic root of 126727440 is about 502.2927240966.

The spelling of 126727440 in words is "one hundred twenty-six million, seven hundred twenty-seven thousand, four hundred forty".