126427840 has 168 divisors, whose sum is σ = 382566672. Its totient is φ = 39352320.

The previous prime is 126427813. The next prime is 126427859. The reversal of 126427840 is 48724621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126427796 and 126427805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172114 + ... + 172846.

Almost surely, 2^126427840 is an apocalyptic number.

126427840 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 126427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191283336).

126427840 is an abundant number, since it is smaller than the sum of its proper divisors (256138832).

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

126427840 is a wasteful number, since it uses less digits than its factorization.

126427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 126427840 is about 11244.0135183128. The cubic root of 126427840 is about 501.8965835125.

The spelling of 126427840 in words is "one hundred twenty-six million, four hundred twenty-seven thousand, eight hundred forty".