126393360 has 80 divisors (see below), whose sum is σ = 395700864. Its totient is φ = 33371136.

The previous prime is 126393359. The next prime is 126393367. The reversal of 126393360 is 63393621.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (126393367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22164 + ... + 27276.

Almost surely, 2^126393360 is an apocalyptic number.

126393360 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 126393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197850432).

126393360 is an abundant number, since it is smaller than the sum of its proper divisors (269307504).

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

126393360 is a wasteful number, since it uses less digits than its factorization.

126393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 126393360 is about 11242.4801534181. The cubic root of 126393360 is about 501.8509528254.

The spelling of 126393360 in words is "one hundred twenty-six million, three hundred ninety-three thousand, three hundred sixty".