126807360 has 112 divisors (see below), whose sum is σ = 415698432. Its totient is φ = 32716800.

The previous prime is 126807347. The next prime is 126807361. The reversal of 126807360 is 63708621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126807361) 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, 27630 + ... + 31890.

Almost surely, 2^126807360 is an apocalyptic number.

126807360 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 126807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207849216).

126807360 is an abundant number, since it is smaller than the sum of its proper divisors (288891072).

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

126807360 is a wasteful number, since it uses less digits than its factorization.

126807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 126807360 is about 11260.8774080886. The cubic root of 126807360 is about 502.3982913380.

The spelling of 126807360 in words is "one hundred twenty-six million, eight hundred seven thousand, three hundred sixty".