126261216 has 72 divisors (see below), whose sum is σ = 364992264. Its totient is φ = 41391360.

The previous prime is 126261209. The next prime is 126261221. The reversal of 126261216 is 612162621.

126261216 is a `hidden beast` number, since 12 + 626 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126261216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13975 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (5069337).

Almost surely, 2^126261216 is an apocalyptic number.

126261216 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 126261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182496132).

126261216 is an abundant number, since it is smaller than the sum of its proper divisors (238731048).

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

126261216 is a wasteful number, since it uses less digits than its factorization.

126261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7253 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 126261216 is about 11236.6016214868. The cubic root of 126261216 is about 501.6759971235.

The spelling of 126261216 in words is "one hundred twenty-six million, two hundred sixty-one thousand, two hundred sixteen".