126363680 has 96 divisors (see below), whose sum is σ = 317338560. Its totient is φ = 47416320.

The previous prime is 126363673. The next prime is 126363707. The reversal of 126363680 is 86363621.

It is a self number, because there is not a number n which added to its sum of digits gives 126363680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598775 + ... + 598985.

It is an arithmetic number, because the mean of its divisors is an integer number (3305610).

Almost surely, 2^126363680 is an apocalyptic number.

126363680 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 126363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158669280).

126363680 is an abundant number, since it is smaller than the sum of its proper divisors (190974880).

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

126363680 is a wasteful number, since it uses less digits than its factorization.

126363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 126363680 is about 11241.1600824826. The cubic root of 126363680 is about 501.8116677914.

The spelling of 126363680 in words is "one hundred twenty-six million, three hundred sixty-three thousand, six hundred eighty".