126617216 has 64 divisors (see below), whose sum is σ = 289720800. Its totient is φ = 54512640.

The previous prime is 126617213. The next prime is 126617251. The reversal of 126617216 is 612716621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (126617213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24386 + ... + 29118.

Almost surely, 2^126617216 is an apocalyptic number.

126617216 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 126617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144860400).

126617216 is an abundant number, since it is smaller than the sum of its proper divisors (163103584).

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

126617216 is a wasteful number, since it uses less digits than its factorization.

126617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4765 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 126617216 is about 11252.4315594453. The cubic root of 126617216 is about 502.1470551119.

The spelling of 126617216 in words is "one hundred twenty-six million, six hundred seventeen thousand, two hundred sixteen".