4487680 has 40 divisors (see below), whose sum is σ = 10766052. Its totient is φ = 1794048.

The previous prime is 4487671. The next prime is 4487683. The reversal of 4487680 is 867844.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 614656 = 1968^2 + 784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4487683) 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 3 ways as a sum of consecutive naturals, for example, 1684 + ... + 3436.

Almost surely, 2^4487680 is an apocalyptic number.

4487680 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 4487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383026).

4487680 is an abundant number, since it is smaller than the sum of its proper divisors (6278372).

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

4487680 is an equidigital number, since it uses as much as digits as its factorization.

4487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4487680 is about 2118.4145014609. The cubic root of 4487680 is about 164.9455590214.

It can be divided in two parts, 448 and 7680, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 4487680 in words is "four million, four hundred eighty-seven thousand, six hundred eighty".