608968800 has 432 divisors, whose sum is σ = 2431250640. Its totient is φ = 146995200.

The previous prime is 608968799. The next prime is 608968807. The reversal of 608968800 is 8869806.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608968807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2613484 + ... + 2613716.

It is an arithmetic number, because the mean of its divisors is an integer number (5627895).

Almost surely, 2^608968800 is an apocalyptic number.

608968800 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 608968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215625320).

608968800 is an abundant number, since it is smaller than the sum of its proper divisors (1822281840).

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

608968800 is a wasteful number, since it uses less digits than its factorization.

608968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 608968800 is about 24677.2932065087. The cubic root of 608968800 is about 847.6144414336.

It can be divided in two parts, 60896 and 8800, that added together give a palindrome (69696).

The spelling of 608968800 in words is "six hundred eight million, nine hundred sixty-eight thousand, eight hundred".