126228560 has 40 divisors (see below), whose sum is σ = 296350080. Its totient is φ = 49997952.

The previous prime is 126228551. The next prime is 126228617. The reversal of 126228560 is 65822621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (7408752).

Almost surely, 2^126228560 is an apocalyptic number.

126228560 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 126228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148175040).

126228560 is an abundant number, since it is smaller than the sum of its proper divisors (170121520).

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

126228560 is a wasteful number, since it uses less digits than its factorization.

126228560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 126228560 is about 11235.1484191354. The cubic root of 126228560 is about 501.6327425003.

The spelling of 126228560 in words is "one hundred twenty-six million, two hundred twenty-eight thousand, five hundred sixty".