4687760 has 80 divisors (see below), whose sum is σ = 13606272. Its totient is φ = 1459200.

The previous prime is 4687751. The next prime is 4687769. The reversal of 4687760 is 677864.

It is an interprime number because it is at equal distance from previous prime (4687751) and next prime (4687769).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4687769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5780 + ... + 6540.

Almost surely, 2^4687760 is an apocalyptic number.

4687760 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 4687760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803136).

4687760 is an abundant number, since it is smaller than the sum of its proper divisors (8918512).

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

4687760 is a wasteful number, since it uses less digits than its factorization.

4687760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 4687760 is about 2165.1235530565. The cubic root of 4687760 is about 167.3613317312.

It can be divided in two parts, 468 and 7760, that added together give a palindrome (8228).

The spelling of 4687760 in words is "four million, six hundred eighty-seven thousand, seven hundred sixty".