126063168 has 112 divisors (see below), whose sum is σ = 415893504. Its totient is φ = 32739840.

The previous prime is 126063167. The next prime is 126063221. The reversal of 126063168 is 861360621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126063163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10521 + ... + 19047.

Almost surely, 2^126063168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207946752).

126063168 is an abundant number, since it is smaller than the sum of its proper divisors (289830336).

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

126063168 is a wasteful number, since it uses less digits than its factorization.

126063168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 126063168 is about 11227.7855341113. The cubic root of 126063168 is about 501.4135572790.

The spelling of 126063168 in words is "one hundred twenty-six million, sixty-three thousand, one hundred sixty-eight".