608889600 has 486 divisors, whose sum is σ = 2453897628. Its totient is φ = 142848000.

The previous prime is 608889583. The next prime is 608889607. The reversal of 608889600 is 6988806.

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

It is not an unprimeable number, because it can be changed into a prime (608889607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19641585 + ... + 19641615.

Almost surely, 2^608889600 is an apocalyptic number.

608889600 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 608889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226948814).

608889600 is an abundant number, since it is smaller than the sum of its proper divisors (1845008028).

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

608889600 is a wasteful number, since it uses less digits than its factorization.

608889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 52 counting only the distinct ones).

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

The square root of 608889600 is about 24675.6884402442. The cubic root of 608889600 is about 847.5776940807.

The spelling of 608889600 in words is "six hundred eight million, eight hundred eighty-nine thousand, six hundred".