288065904 has 60 divisors (see below), whose sum is σ = 865674504. Its totient is φ = 82303872.

The previous prime is 288065893. The next prime is 288065909. The reversal of 288065904 is 409560882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288065909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58887 + ... + 63590.

Almost surely, 2^288065904 is an apocalyptic number.

288065904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

288065904 is an abundant number, since it is smaller than the sum of its proper divisors (577608600).

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

288065904 is a wasteful number, since it uses less digits than its factorization.

288065904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122502 (or 122489 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 288065904 is about 16972.5043526287. The cubic root of 288065904 is about 660.4358186717.

The spelling of 288065904 in words is "two hundred eighty-eight million, sixty-five thousand, nine hundred four".