4687560 has 96 divisors (see below), whose sum is σ = 15795000. Its totient is φ = 1204224.

The previous prime is 4687519. The next prime is 4687601. The reversal of 4687560 is 657864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4687519) and next prime (4687601).

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 695556 = 1998^2 + 834^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10216 + ... + 10664.

Almost surely, 2^4687560 is an apocalyptic number.

4687560 is a gapful number since it is divisible by the number (40) 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 4687560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897500).

4687560 is an abundant number, since it is smaller than the sum of its proper divisors (11107440).

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

4687560 is a wasteful number, since it uses less digits than its factorization.

4687560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4687560 is about 2165.0773658232. The cubic root of 4687560 is about 167.3589515793.

The spelling of 4687560 in words is "four million, six hundred eighty-seven thousand, five hundred sixty".