287516560 has 40 divisors (see below), whose sum is σ = 697544640. Its totient is φ = 110005632.

The previous prime is 287516519. The next prime is 287516561. The reversal of 287516560 is 65615782.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×287516560³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (287516561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76290 + ... + 79969.

It is an arithmetic number, because the mean of its divisors is an integer number (17438616).

Almost surely, 2^287516560 is an apocalyptic number.

287516560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287516560 is an abundant number, since it is smaller than the sum of its proper divisors (410028080).

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

287516560 is a wasteful number, since it uses less digits than its factorization.

287516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156295 (or 156289 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 287516560 is about 16956.3132785402. The cubic root of 287516560 is about 660.0157327134.

It can be divided in two parts, 2875 and 16560, that multiplied together give a square (47610000 = 6900²).

The spelling of 287516560 in words is "two hundred eighty-seven million, five hundred sixteen thousand, five hundred sixty".