126560610 has 128 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 29937600.

The previous prime is 126560591. The next prime is 126560639. The reversal of 126560610 is 16065621.

It is a happy number.

126560610 is a `hidden beast` number, since 1 + 2 + 656 + 0 + 6 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127215 + ... + 128205.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^126560610 is an apocalyptic number.

126560610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126560610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

126560610 is an abundant number, since it is smaller than the sum of its proper divisors (250558110).

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

126560610 is a wasteful number, since it uses less digits than its factorization.

126560610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126560610 is about 11249.9159996864. The cubic root of 126560610 is about 502.0722133328.

The spelling of 126560610 in words is "one hundred twenty-six million, five hundred sixty thousand, six hundred ten".