126868560 has 320 divisors, whose sum is σ = 500301312. Its totient is φ = 25878528.

The previous prime is 126868559. The next prime is 126868561. The reversal of 126868560 is 65868621.

It is an interprime number because it is at equal distance from previous prime (126868559) and next prime (126868561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126868561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808002 + ... + 808158.

Almost surely, 2^126868560 is an apocalyptic number.

126868560 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 126868560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250150656).

126868560 is an abundant number, since it is smaller than the sum of its proper divisors (373432752).

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

126868560 is a wasteful number, since it uses less digits than its factorization.

126868560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 126868560 is about 11263.5944529267. The cubic root of 126868560 is about 502.4791011333.

The spelling of 126868560 in words is "one hundred twenty-six million, eight hundred sixty-eight thousand, five hundred sixty".