126283680 has 72 divisors (see below), whose sum is σ = 430947972. Its totient is φ = 33675264.

The previous prime is 126283643. The next prime is 126283681. The reversal of 126283680 is 86382621.

It can be written as a sum of positive squares in 2 ways, for example, as 115863696 + 10419984 = 10764^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (126283681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42409 + ... + 45288.

Almost surely, 2^126283680 is an apocalyptic number.

126283680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126283680 is an abundant number, since it is smaller than the sum of its proper divisors (304664292).

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

126283680 is a wasteful number, since it uses less digits than its factorization.

126283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87718 (or 87707 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126283680 is about 11237.6011675090. The cubic root of 126283680 is about 501.7057475665.

The spelling of 126283680 in words is "one hundred twenty-six million, two hundred eighty-three thousand, six hundred eighty".