126308880 has 120 divisors (see below), whose sum is σ = 437948160. Its totient is φ = 32590080.

The previous prime is 126308879. The next prime is 126308957. The reversal of 126308880 is 88803621.

126308880 is a `hidden beast` number, since 12 + 630 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19491 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (3649568).

Almost surely, 2^126308880 is an apocalyptic number.

126308880 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 126308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218974080).

126308880 is an abundant number, since it is smaller than the sum of its proper divisors (311639280).

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

126308880 is a wasteful number, since it uses less digits than its factorization.

126308880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5700 counting only the distinct ones).

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

The square root of 126308880 is about 11238.7223473133. The cubic root of 126308880 is about 501.7391172623.

The spelling of 126308880 in words is "one hundred twenty-six million, three hundred eight thousand, eight hundred eighty".