288664040 has 64 divisors (see below), whose sum is σ = 751282560. Its totient is φ = 97770240.

The previous prime is 288664039. The next prime is 288664043. The reversal of 288664040 is 40466882.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 288663985 and 288664003.

It is not an unprimeable number, because it can be changed into a prime (288664043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17030 + ... + 29450.

It is an arithmetic number, because the mean of its divisors is an integer number (11738790).

Almost surely, 2^288664040 is an apocalyptic number.

288664040 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 288664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375641280).

288664040 is an abundant number, since it is smaller than the sum of its proper divisors (462618520).

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

288664040 is a wasteful number, since it uses less digits than its factorization.

288664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 288664040 is about 16990.1159501635. The cubic root of 288664040 is about 660.8926092144.

The spelling of 288664040 in words is "two hundred eighty-eight million, six hundred sixty-four thousand, forty".