288668040 has 64 divisors (see below), whose sum is σ = 870471360. Its totient is φ = 76581120.

The previous prime is 288668027. The next prime is 288668077. The reversal of 288668040 is 40866882.

It is a super-3 number, since 3×288668040³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288667983 and 288668001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17535 + ... + 29745.

It is an arithmetic number, because the mean of its divisors is an integer number (13601115).

Almost surely, 2^288668040 is an apocalyptic number.

288668040 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 288668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435235680).

288668040 is an abundant number, since it is smaller than the sum of its proper divisors (581803320).

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

288668040 is a wasteful number, since it uses less digits than its factorization.

288668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12422 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 288668040 is about 16990.2336652560. The cubic root of 288668040 is about 660.8956618499.

The spelling of 288668040 in words is "two hundred eighty-eight million, six hundred sixty-eight thousand, forty".