126234880 has 36 divisors (see below), whose sum is σ = 302375052. Its totient is φ = 50493440.

The previous prime is 126234869. The next prime is 126234881. The reversal of 126234880 is 88432621.

It can be written as a sum of positive squares in 2 ways, for example, as 99361024 + 26873856 = 9968^2 + 5184^2 .

It is a super-2 number, since 2×126234880² = 31870489857228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126234881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48031 + ... + 50590.

It is an arithmetic number, because the mean of its divisors is an integer number (8399307).

Almost surely, 2^126234880 is an apocalyptic number.

126234880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126234880 is an abundant number, since it is smaller than the sum of its proper divisors (176140172).

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

126234880 is an frugal number, since it uses more digits than its factorization.

126234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98642 (or 98628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 126234880 is about 11235.4296758068. The cubic root of 126234880 is about 501.6411142614.

The spelling of 126234880 in words is "one hundred twenty-six million, two hundred thirty-four thousand, eight hundred eighty".