4686880 has 48 divisors (see below), whose sum is σ = 12083904. Its totient is φ = 1703680.

The previous prime is 4686841. The next prime is 4686881. The reversal of 4686880 is 886864.

It is a happy number.

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 (4686881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (251748).

Almost surely, 2^4686880 is an apocalyptic number.

4686880 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 4686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041952).

4686880 is an abundant number, since it is smaller than the sum of its proper divisors (7397024).

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

4686880 is a wasteful number, since it uses less digits than its factorization.

4686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 4686880 is about 2164.9203218594. The cubic root of 4686880 is about 167.3508585565.

The spelling of 4686880 in words is "four million, six hundred eighty-six thousand, eight hundred eighty".