126208368 has 240 divisors, whose sum is σ = 432222336. Its totient is φ = 35147520.

The previous prime is 126208361. The next prime is 126208399. The reversal of 126208368 is 863802621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126208361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555871 + ... + 556097.

Almost surely, 2^126208368 is an apocalyptic number.

126208368 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 126208368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

126208368 is an abundant number, since it is smaller than the sum of its proper divisors (306013968).

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

126208368 is a wasteful number, since it uses less digits than its factorization.

126208368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126208368 is about 11234.2497746846. The cubic root of 126208368 is about 501.6059933809.

The spelling of 126208368 in words is "one hundred twenty-six million, two hundred eight thousand, three hundred sixty-eight".