126580536 has 64 divisors (see below), whose sum is σ = 358279200. Its totient is φ = 41393664.

The previous prime is 126580513. The next prime is 126580537. The reversal of 126580536 is 635085621.

126580536 is a `hidden beast` number, since 1 + 26 + 580 + 53 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126580536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126580537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5920 + ... + 16976.

Almost surely, 2^126580536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126580536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179139600).

126580536 is an abundant number, since it is smaller than the sum of its proper divisors (231698664).

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

126580536 is a wasteful number, since it uses less digits than its factorization.

126580536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125 (or 11115 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 126580536 is about 11250.8015714437. The cubic root of 126580536 is about 502.0985610934.

The spelling of 126580536 in words is "one hundred twenty-six million, five hundred eighty thousand, five hundred thirty-six".