126830880 has 384 divisors, whose sum is σ = 516015360. Its totient is φ = 28753920.

The previous prime is 126830867. The next prime is 126830887. The reversal of 126830880 is 88038621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126830887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807762 + ... + 807918.

It is an arithmetic number, because the mean of its divisors is an integer number (1343790).

Almost surely, 2^126830880 is an apocalyptic number.

126830880 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 126830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258007680).

126830880 is an abundant number, since it is smaller than the sum of its proper divisors (389184480).

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

126830880 is a wasteful number, since it uses less digits than its factorization.

126830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 126830880 is about 11261.9216832652. The cubic root of 126830880 is about 502.4293507269.

The spelling of 126830880 in words is "one hundred twenty-six million, eight hundred thirty thousand, eight hundred eighty".