126300880 has 40 divisors (see below), whose sum is σ = 294791400. Its totient is φ = 50323968.

The previous prime is 126300859. The next prime is 126300907. The reversal of 126300880 is 88003621.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 122412096 = 1972^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18586 + ... + 24454.

It is an arithmetic number, because the mean of its divisors is an integer number (7369785).

Almost surely, 2^126300880 is an apocalyptic number.

126300880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126300880 is an abundant number, since it is smaller than the sum of its proper divisors (168490520).

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

126300880 is a wasteful number, since it uses less digits than its factorization.

126300880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 126300880 is about 11238.3664293348. The cubic root of 126300880 is about 501.7285241890.

The spelling of 126300880 in words is "one hundred twenty-six million, three hundred thousand, eight hundred eighty".