126394560 has 112 divisors (see below), whose sum is σ = 445922400. Its totient is φ = 33702912.

The previous prime is 126394529. The next prime is 126394571. The reversal of 126394560 is 65493621.

It is a happy number.

126394560 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 94 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326 + ... + 15954.

It is an arithmetic number, because the mean of its divisors is an integer number (3981450).

Almost surely, 2^126394560 is an apocalyptic number.

126394560 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 126394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222961200).

126394560 is an abundant number, since it is smaller than the sum of its proper divisors (319527840).

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

126394560 is a wasteful number, since it uses less digits than its factorization.

126394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 126394560 is about 11242.5335222983. The cubic root of 126394560 is about 501.8525410397.

The spelling of 126394560 in words is "one hundred twenty-six million, three hundred ninety-four thousand, five hundred sixty".