608601600 has 300 divisors, whose sum is σ = 2256316524. Its totient is φ = 162017280.

The previous prime is 608601583. The next prime is 608601601. The reversal of 608601600 is 6106806.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608601601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036507 + ... + 1037093.

Almost surely, 2^608601600 is an apocalyptic number.

608601600 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 608601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128158262).

608601600 is an abundant number, since it is smaller than the sum of its proper divisors (1647714924).

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

608601600 is an equidigital number, since it uses as much as digits as its factorization.

608601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 608601600 is about 24669.8520465770. The cubic root of 608601600 is about 847.4440404746. Note that the first 3 decimals are identical.

The spelling of 608601600 in words is "six hundred eight million, six hundred one thousand, six hundred".