126065216 has 56 divisors (see below), whose sum is σ = 259445760. Its totient is φ = 60728832.

The previous prime is 126065213. The next prime is 126065227. The reversal of 126065216 is 612560621.

It is not an unprimeable number, because it can be changed into a prime (126065213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 328961 + ... + 329343.

It is an arithmetic number, because the mean of its divisors is an integer number (4632960).

Almost surely, 2^126065216 is an apocalyptic number.

126065216 is a gapful number since it is divisible by the number (16) 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 126065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

126065216 is an abundant number, since it is smaller than the sum of its proper divisors (133380544).

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

126065216 is a wasteful number, since it uses less digits than its factorization.

126065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 126065216 is about 11227.8767360530. The cubic root of 126065216 is about 501.4162725564.

The spelling of 126065216 in words is "one hundred twenty-six million, sixty-five thousand, two hundred sixteen".