126710640 has 240 divisors, whose sum is σ = 502634496. Its totient is φ = 27993600.

The previous prime is 126710627. The next prime is 126710641. The reversal of 126710640 is 46017621.

126710640 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126710641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155835 + ... + 156645.

Almost surely, 2^126710640 is an apocalyptic number.

126710640 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 126710640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251317248).

126710640 is an abundant number, since it is smaller than the sum of its proper divisors (375923856).

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

126710640 is a wasteful number, since it uses less digits than its factorization.

126710640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126710640 is about 11256.5820745020. The cubic root of 126710640 is about 502.2705271394.

The spelling of 126710640 in words is "one hundred twenty-six million, seven hundred ten thousand, six hundred forty".