288103680 has 216 divisors, whose sum is σ = 1011596040. Its totient is φ = 75694080.

The previous prime is 288103657. The next prime is 288103687. The reversal of 288103680 is 86301882.

288103680 is a `hidden beast` number, since 288 + 10 + 368 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 271063296 = 4128^2 + 16464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288103687) 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, 1025140 + ... + 1025420.

It is an arithmetic number, because the mean of its divisors is an integer number (4683315).

Almost surely, 2^288103680 is an apocalyptic number.

288103680 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 288103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505798020).

288103680 is an abundant number, since it is smaller than the sum of its proper divisors (723492360).

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

288103680 is a wasteful number, since it uses less digits than its factorization.

288103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 288103680 is about 16973.6171748982. The cubic root of 288103680 is about 660.4646865252.

The spelling of 288103680 in words is "two hundred eighty-eight million, one hundred three thousand, six hundred eighty".