126358560 has 144 divisors (see below), whose sum is σ = 440608896. Its totient is φ = 32961024.

The previous prime is 126358559. The next prime is 126358567. The reversal of 126358560 is 65853621.

126358560 is a `hidden beast` number, since 12 + 6 + 3 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (126358567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66747 + ... + 68613.

It is an arithmetic number, because the mean of its divisors is an integer number (3059784).

Almost surely, 2^126358560 is an apocalyptic number.

126358560 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 126358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220304448).

126358560 is an abundant number, since it is smaller than the sum of its proper divisors (314250336).

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

126358560 is a wasteful number, since it uses less digits than its factorization.

126358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1924 counting only the distinct ones).

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

The square root of 126358560 is about 11240.9323456731. The cubic root of 126358560 is about 501.8048902363.

The spelling of 126358560 in words is "one hundred twenty-six million, three hundred fifty-eight thousand, five hundred sixty".