288675600 has 120 divisors (see below), whose sum is σ = 933630720. Its totient is φ = 76239360.

The previous prime is 288675593. The next prime is 288675601. The reversal of 288675600 is 6576882.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (288675601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129697 + ... + 131903.

It is an arithmetic number, because the mean of its divisors is an integer number (7780256).

Almost surely, 2^288675600 is an apocalyptic number.

288675600 is a gapful number since it is divisible by the number (20) 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 288675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466815360).

288675600 is an abundant number, since it is smaller than the sum of its proper divisors (644955120).

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

288675600 is a wasteful number, since it uses less digits than its factorization.

288675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 288675600 is about 16990.4561445536. The cubic root of 288675600 is about 660.9014312538.

The spelling of 288675600 in words is "two hundred eighty-eight million, six hundred seventy-five thousand, six hundred".