4811760 has 120 divisors (see below), whose sum is σ = 16655184. Its totient is φ = 1244160.

The previous prime is 4811717. The next prime is 4811777. The reversal of 4811760 is 671184.

It is a happy number.

4811760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29439 + ... + 29601.

Almost surely, 2^4811760 is an apocalyptic number.

4811760 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 4811760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327592).

4811760 is an abundant number, since it is smaller than the sum of its proper divisors (11843424).

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

4811760 is a wasteful number, since it uses less digits than its factorization.

4811760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4811760 is about 2193.5724287108. The cubic root of 4811760 is about 168.8241813774.

The spelling of 4811760 in words is "four million, eight hundred eleven thousand, seven hundred sixty".