4557680 has 40 divisors (see below), whose sum is σ = 11061792. Its totient is φ = 1743104.

The previous prime is 4557677. The next prime is 4557689. The reversal of 4557680 is 867554.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4557680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4557689) 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, 602 + ... + 3078.

Almost surely, 2^4557680 is an apocalyptic number.

4557680 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 4557680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530896).

4557680 is an abundant number, since it is smaller than the sum of its proper divisors (6504112).

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

4557680 is a wasteful number, since it uses less digits than its factorization.

4557680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 4557680 is about 2134.8723615242. The cubic root of 4557680 is about 165.7987593779.

The spelling of 4557680 in words is "four million, five hundred fifty-seven thousand, six hundred eighty".