126768096 has 216 divisors, whose sum is σ = 452264904. Its totient is φ = 33384960.

The previous prime is 126768091. The next prime is 126768097. The reversal of 126768096 is 690867621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126768091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183111 + ... + 183801.

It is an arithmetic number, because the mean of its divisors is an integer number (2093819).

Almost surely, 2^126768096 is an apocalyptic number.

126768096 is a gapful number since it is divisible by the number (16) 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 126768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226132452).

126768096 is an abundant number, since it is smaller than the sum of its proper divisors (325496808).

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

126768096 is a wasteful number, since it uses less digits than its factorization.

126768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

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

The square root of 126768096 is about 11259.1338920896. The cubic root of 126768096 is about 502.3464326161.

The spelling of 126768096 in words is "one hundred twenty-six million, seven hundred sixty-eight thousand, ninety-six".