126610560 has 256 divisors, whose sum is σ = 475891200. Its totient is φ = 31703040.

The previous prime is 126610531. The next prime is 126610571. The reversal of 126610560 is 65016621.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 293545 + ... + 293975.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^126610560 is an apocalyptic number.

126610560 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 126610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

126610560 is an abundant number, since it is smaller than the sum of its proper divisors (349280640).

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

126610560 is a wasteful number, since it uses less digits than its factorization.

126610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

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

The square root of 126610560 is about 11252.1357972609. The cubic root of 126610560 is about 502.1382560205.

The spelling of 126610560 in words is "one hundred twenty-six million, six hundred ten thousand, five hundred sixty".