4637680 has 40 divisors (see below), whose sum is σ = 11160000. Its totient is φ = 1790208.

The previous prime is 4637669. The next prime is 4637683. The reversal of 4637680 is 867364.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4637683) 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, 1321 + ... + 3319.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^4637680 is an apocalyptic number.

4637680 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 4637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580000).

4637680 is an abundant number, since it is smaller than the sum of its proper divisors (6522320).

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

4637680 is a wasteful number, since it uses less digits than its factorization.

4637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4637680 is about 2153.5273390417. The cubic root of 4637680 is about 166.7632151706.

The spelling of 4637680 in words is "four million, six hundred thirty-seven thousand, six hundred eighty".