60256800 has 108 divisors (see below), whose sum is σ = 212505930. Its totient is φ = 16066560.

The previous prime is 60256799. The next prime is 60256843. The reversal of 60256800 is 865206.

60256800 is a `hidden beast` number, since 602 + 56 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 50296464 + 9960336 = 7092^2 + 3156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3016 + ... + 11384.

Almost surely, 2^60256800 is an apocalyptic number.

60256800 is a gapful number since it is divisible by the number (60) 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 60256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106252965).

60256800 is an abundant number, since it is smaller than the sum of its proper divisors (152249130).

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

60256800 is a wasteful number, since it uses less digits than its factorization.

60256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 60256800 is about 7762.5253622774. The cubic root of 60256800 is about 392.0444902995.

The spelling of 60256800 in words is "sixty million, two hundred fifty-six thousand, eight hundred".