126417168 has 120 divisors (see below), whose sum is σ = 378745848. Its totient is φ = 39223296.

The previous prime is 126417167. The next prime is 126417173. The reversal of 126417168 is 861714621.

It is a happy number.

126417168 is a `hidden beast` number, since 1 + 2 + 641 + 7 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20903184 + 105513984 = 4572^2 + 10272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126417167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276396 + ... + 276852.

Almost surely, 2^126417168 is an apocalyptic number.

126417168 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 126417168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189372924).

126417168 is an abundant number, since it is smaller than the sum of its proper divisors (252328680).

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

126417168 is a wasteful number, since it uses less digits than its factorization.

126417168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 126417168 is about 11243.5389446562. The cubic root of 126417168 is about 501.8824611192.

The spelling of 126417168 in words is "one hundred twenty-six million, four hundred seventeen thousand, one hundred sixty-eight".