126270360 has 128 divisors (see below), whose sum is σ = 430848000. Its totient is φ = 32876928.

The previous prime is 126270349. The next prime is 126270457. The reversal of 126270360 is 63072621.

It is a happy number.

126270360 is a `hidden beast` number, since 1 + 2 + 627 + 0 + 36 + 0 = 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, 45081 + ... + 47799.

It is an arithmetic number, because the mean of its divisors is an integer number (3366000).

Almost surely, 2^126270360 is an apocalyptic number.

126270360 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 126270360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

126270360 is an abundant number, since it is smaller than the sum of its proper divisors (304577640).

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

126270360 is a wasteful number, since it uses less digits than its factorization.

126270360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126270360 is about 11237.0084987064. The cubic root of 126270360 is about 501.6881075053.

The spelling of 126270360 in words is "one hundred twenty-six million, two hundred seventy thousand, three hundred sixty".