126096768 has 192 divisors, whose sum is σ = 437049600. Its totient is φ = 34089984.

The previous prime is 126096757. The next prime is 126096779. The reversal of 126096768 is 867690621.

It is an interprime number because it is at equal distance from previous prime (126096757) and next prime (126096779).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152805 + ... + 153627.

It is an arithmetic number, because the mean of its divisors is an integer number (2276300).

Almost surely, 2^126096768 is an apocalyptic number.

126096768 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 126096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218524800).

126096768 is an abundant number, since it is smaller than the sum of its proper divisors (310952832).

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

126096768 is a wasteful number, since it uses less digits than its factorization.

126096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 126096768 is about 11229.2817223543. The cubic root of 126096768 is about 501.4581010825.

The spelling of 126096768 in words is "one hundred twenty-six million, ninety-six thousand, seven hundred sixty-eight".