126044640 has 192 divisors, whose sum is σ = 446342400. Its totient is φ = 33219072.

The previous prime is 126044617. The next prime is 126044671. The reversal of 126044640 is 46440621.

126044640 is a `hidden beast` number, since 12 + 6 + 0 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704071 + ... + 704249.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^126044640 is an apocalyptic number.

126044640 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 126044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

126044640 is an abundant number, since it is smaller than the sum of its proper divisors (320297760).

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

126044640 is a wasteful number, since it uses less digits than its factorization.

126044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 126044640 is about 11226.9604078753. The cubic root of 126044640 is about 501.3889911674.

The spelling of 126044640 in words is "one hundred twenty-six million, forty-four thousand, six hundred forty".