608320800 has 144 divisors (see below), whose sum is σ = 2200171680. Its totient is φ = 162213120.

The previous prime is 608320793. The next prime is 608320837. The reversal of 608320800 is 8023806.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7519 + ... + 35681.

It is an arithmetic number, because the mean of its divisors is an integer number (15278970).

Almost surely, 2^608320800 is an apocalyptic number.

608320800 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 608320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100085840).

608320800 is an abundant number, since it is smaller than the sum of its proper divisors (1591850880).

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

608320800 is a wasteful number, since it uses less digits than its factorization.

608320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28192 (or 28173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 608320800 is about 24664.1602330183. The cubic root of 608320800 is about 847.3136876059.

The spelling of 608320800 in words is "six hundred eight million, three hundred twenty thousand, eight hundred".