126591360 has 128 divisors (see below), whose sum is σ = 461203200. Its totient is φ = 28932096.

The previous prime is 126591359. The next prime is 126591397. The reversal of 126591360 is 63195621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8731 + ... + 18149.

It is an arithmetic number, because the mean of its divisors is an integer number (3603150).

Almost surely, 2^126591360 is an apocalyptic number.

126591360 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 126591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230601600).

126591360 is an abundant number, since it is smaller than the sum of its proper divisors (334611840).

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

126591360 is an equidigital number, since it uses as much as digits as its factorization.

126591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 126591360 is about 11251.2825935535. The cubic root of 126591360 is about 502.1128722982.

The spelling of 126591360 in words is "one hundred twenty-six million, five hundred ninety-one thousand, three hundred sixty".