126859680 has 144 divisors (see below), whose sum is σ = 444795624. Its totient is φ = 32901120.

The previous prime is 126859673. The next prime is 126859703. The reversal of 126859680 is 86958621.

It can be written as a sum of positive squares in 4 ways, for example, as 84713616 + 42146064 = 9204^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52090 + ... + 54470.

Almost surely, 2^126859680 is an apocalyptic number.

126859680 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 126859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222397812).

126859680 is an abundant number, since it is smaller than the sum of its proper divisors (317935944).

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

126859680 is a wasteful number, since it uses less digits than its factorization.

126859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 126859680 is about 11263.2002557000. The cubic root of 126859680 is about 502.4673774025.

The spelling of 126859680 in words is "one hundred twenty-six million, eight hundred fifty-nine thousand, six hundred eighty".