126086580 has 72 divisors (see below), whose sum is σ = 385329672. Its totient is φ = 33371136.

The previous prime is 126086561. The next prime is 126086593. The reversal of 126086580 is 85680621.

It is a happy number.

126086580 is a `hidden beast` number, since 12 + 60 + 8 + 6 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 126023076 = 252^2 + 11226^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

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, 22104 + ... + 27216.

It is an arithmetic number, because the mean of its divisors is an integer number (5351801).

Almost surely, 2^126086580 is an apocalyptic number.

126086580 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 126086580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192664836).

126086580 is an abundant number, since it is smaller than the sum of its proper divisors (259243092).

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

126086580 is a wasteful number, since it uses less digits than its factorization.

126086580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 126086580 is about 11228.8280777648. The cubic root of 126086580 is about 501.4445956009. Note that the first 3 decimals are identical.

The spelling of 126086580 in words is "one hundred twenty-six million, eighty-six thousand, five hundred eighty".