126316720 has 40 divisors (see below), whose sum is σ = 295360560. Its totient is φ = 50238720.

The previous prime is 126316717. The next prime is 126316727. The reversal of 126316720 is 27613621.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (126316727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9910 + ... + 18730.

It is an arithmetic number, because the mean of its divisors is an integer number (7384014).

Almost surely, 2^126316720 is an apocalyptic number.

126316720 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 126316720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147680280).

126316720 is an abundant number, since it is smaller than the sum of its proper divisors (169043840).

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

126316720 is a wasteful number, since it uses less digits than its factorization.

126316720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 126316720 is about 11239.0711359970. The cubic root of 126316720 is about 501.7494980402.

The spelling of 126316720 in words is "one hundred twenty-six million, three hundred sixteen thousand, seven hundred twenty".