126456640 has 56 divisors (see below), whose sum is σ = 303397920. Its totient is φ = 50201088.

The previous prime is 126456623. The next prime is 126456641. The reversal of 126456640 is 46654621.

It is a junction number, because it is equal to n+sod(n) for n = 126456596 and 126456605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126456641) 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, 43059 + ... + 45901.

It is an arithmetic number, because the mean of its divisors is an integer number (5417820).

Almost surely, 2^126456640 is an apocalyptic number.

126456640 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 126456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151698960).

126456640 is an abundant number, since it is smaller than the sum of its proper divisors (176941280).

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

126456640 is a wasteful number, since it uses less digits than its factorization.

126456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 126456640 is about 11245.2941268781. The cubic root of 126456640 is about 501.9346909530.

The spelling of 126456640 in words is "one hundred twenty-six million, four hundred fifty-six thousand, six hundred forty".