4855680 has 128 divisors (see below), whose sum is σ = 17258400. Its totient is φ = 1290240.

The previous prime is 4855679. The next prime is 4855681. The reversal of 4855680 is 865584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4855679) and next prime (4855681).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4855681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17140 + ... + 17420.

Almost surely, 2^4855680 is an apocalyptic number.

4855680 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 4855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629200).

4855680 is an abundant number, since it is smaller than the sum of its proper divisors (12402720).

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

4855680 is a wasteful number, since it uses less digits than its factorization.

4855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4855680 is about 2203.5607547785. The cubic root of 4855680 is about 169.3362817323.

The spelling of 4855680 in words is "four million, eight hundred fifty-five thousand, six hundred eighty".