126090720 has 216 divisors, whose sum is σ = 500815224. Its totient is φ = 28804608.

The previous prime is 126090719. The next prime is 126090739. The reversal of 126090720 is 27090621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69667 + ... + 71453.

It is an arithmetic number, because the mean of its divisors is an integer number (2318589).

Almost surely, 2^126090720 is an apocalyptic number.

126090720 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 126090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250407612).

126090720 is an abundant number, since it is smaller than the sum of its proper divisors (374724504).

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

126090720 is a wasteful number, since it uses less digits than its factorization.

126090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 126090720 is about 11229.0124231831. The cubic root of 126090720 is about 501.4500837818.

Subtracting from 126090720 its reverse (27090621), we obtain a palindrome (99000099).

The spelling of 126090720 in words is "one hundred twenty-six million, ninety thousand, seven hundred twenty".