60556800 has 240 divisors, whose sum is σ = 213111360. Its totient is φ = 15114240.

The previous prime is 60556799. The next prime is 60556817. The reversal of 60556800 is 865506.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729559 + ... + 729641.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^60556800 is an apocalyptic number.

60556800 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 60556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

60556800 is an abundant number, since it is smaller than the sum of its proper divisors (152554560).

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

60556800 is a wasteful number, since it uses less digits than its factorization.

60556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 60556800 is about 7781.8249787566. The cubic root of 60556800 is about 392.6940363443.

The spelling of 60556800 in words is "sixty million, five hundred fifty-six thousand, eight hundred".