288340560 has 100 divisors (see below), whose sum is σ = 1001471988. Its totient is φ = 76889088.

The previous prime is 288340537. The next prime is 288340567. The reversal of 288340560 is 65043882.

It can be written as a sum of positive squares in 2 ways, for example, as 148060224 + 140280336 = 12168^2 + 11844^2 .

It is a super-2 number, since 2×288340560² = 166280557082227200, which contains 22 as substring.

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 (288340567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15769 + ... + 28728.

Almost surely, 2^288340560 is an apocalyptic number.

288340560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288340560 is an abundant number, since it is smaller than the sum of its proper divisors (713131428).

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

288340560 is a wasteful number, since it uses less digits than its factorization.

288340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44522 (or 44507 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 288340560 is about 16980.5936291992. The cubic root of 288340560 is about 660.6456491754.

The spelling of 288340560 in words is "two hundred eighty-eight million, three hundred forty thousand, five hundred sixty".