4613680 has 40 divisors (see below), whose sum is σ = 10851984. Its totient is φ = 1824000.

The previous prime is 4613669. The next prime is 4613683. The reversal of 4613680 is 863164.

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

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4613683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7795 + ... + 8365.

Almost surely, 2^4613680 is an apocalyptic number.

4613680 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 4613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425992).

4613680 is an abundant number, since it is smaller than the sum of its proper divisors (6238304).

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

4613680 is a wasteful number, since it uses less digits than its factorization.

4613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4613680 is about 2147.9478578401. The cubic root of 4613680 is about 166.4750508959.

The spelling of 4613680 in words is "four million, six hundred thirteen thousand, six hundred eighty".