608680800 has 432 divisors, whose sum is σ = 2644518240. Its totient is φ = 128286720.

The previous prime is 608680777. The next prime is 608680811. The reversal of 608680800 is 8086806.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654736 + ... + 655664.

It is an arithmetic number, because the mean of its divisors is an integer number (6121570).

Almost surely, 2^608680800 is an apocalyptic number.

608680800 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 608680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322259120).

608680800 is an abundant number, since it is smaller than the sum of its proper divisors (2035837440).

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

608680800 is a wasteful number, since it uses less digits than its factorization.

608680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 608680800 is about 24671.4571924724. The cubic root of 608680800 is about 847.4807994188.

The spelling of 608680800 in words is "six hundred eight million, six hundred eighty thousand, eight hundred".