126163440 has 160 divisors (see below), whose sum is σ = 468095040. Its totient is φ = 31048704.

The previous prime is 126163399. The next prime is 126163447. The reversal of 126163440 is 44361621.

126163440 is a `hidden beast` number, since 1 + 2 + 616 + 3 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126163447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25834 + ... + 30326.

It is an arithmetic number, because the mean of its divisors is an integer number (2925594).

Almost surely, 2^126163440 is an apocalyptic number.

126163440 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 126163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234047520).

126163440 is an abundant number, since it is smaller than the sum of its proper divisors (341931600).

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

126163440 is a wasteful number, since it uses less digits than its factorization.

126163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126163440 is about 11232.2499972178. The cubic root of 126163440 is about 501.5464652923.

The spelling of 126163440 in words is "one hundred twenty-six million, one hundred sixty-three thousand, four hundred forty".