126078960 has 240 divisors, whose sum is σ = 464113152. Its totient is φ = 28224000.

The previous prime is 126078947. The next prime is 126078971. The reversal of 126078960 is 69870621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834885 + ... + 835035.

Almost surely, 2^126078960 is an apocalyptic number.

126078960 is a gapful number since it is divisible by the number (10) 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 126078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232056576).

126078960 is an abundant number, since it is smaller than the sum of its proper divisors (338034192).

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

126078960 is a wasteful number, since it uses less digits than its factorization.

126078960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 126078960 is about 11228.4887674166. The cubic root of 126078960 is about 501.4344938523.

The spelling of 126078960 in words is "one hundred twenty-six million, seventy-eight thousand, nine hundred sixty".