126863520 has 192 divisors, whose sum is σ = 483791616. Its totient is φ = 27279360.

The previous prime is 126863489. The next prime is 126863521. The reversal of 126863520 is 25368621.

It is not an unprimeable number, because it can be changed into a prime (126863521) 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 31 ways as a sum of consecutive naturals, for example, 56010 + ... + 58230.

It is an arithmetic number, because the mean of its divisors is an integer number (2519748).

Almost surely, 2^126863520 is an apocalyptic number.

126863520 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 126863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241895808).

126863520 is an abundant number, since it is smaller than the sum of its proper divisors (356928096).

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

126863520 is a wasteful number, since it uses less digits than its factorization.

126863520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 126863520 is about 11263.3707210586. The cubic root of 126863520 is about 502.4724471910.

The spelling of 126863520 in words is "one hundred twenty-six million, eight hundred sixty-three thousand, five hundred twenty".