126984168 has 48 divisors (see below), whose sum is σ = 347274720. Its totient is φ = 41914656.

The previous prime is 126984167. The next prime is 126984197. The reversal of 126984168 is 861489621.

It is a super-2 number, since 2×126984168² = 32249957845304448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126984161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 15977.

It is an arithmetic number, because the mean of its divisors is an integer number (7234890).

Almost surely, 2^126984168 is an apocalyptic number.

126984168 is a gapful number since it is divisible by the number (18) 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 126984168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173637360).

126984168 is an abundant number, since it is smaller than the sum of its proper divisors (220290552).

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

126984168 is a wasteful number, since it uses less digits than its factorization.

126984168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17238 (or 17231 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 126984168 is about 11268.7252162789. The cubic root of 126984168 is about 502.6316815361.

It can be divided in two parts, 126984 and 168, that multiplied together give a palindrome (21333312).

The spelling of 126984168 in words is "one hundred twenty-six million, nine hundred eighty-four thousand, one hundred sixty-eight".