4766580 has 192 divisors, whose sum is σ = 18439680. Its totient is φ = 995328.

The previous prime is 4766563. The next prime is 4766611. The reversal of 4766580 is 856674.

It is a happy number.

4766580 is a `hidden beast` number, since 4 + 76 + 6 + 580 = 666.

4766580 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49092 + ... + 49188.

It is an arithmetic number, because the mean of its divisors is an integer number (96040).

Almost surely, 2^4766580 is an apocalyptic number.

4766580 is the 1092-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4766580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219840).

4766580 is an abundant number, since it is smaller than the sum of its proper divisors (13673100).

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

4766580 is a wasteful number, since it uses less digits than its factorization.

4766580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4766580 is about 2183.2498711783. The cubic root of 4766580 is about 168.2941276099.

It can be divided in two parts, 476 and 6580, that added together give a square (7056 = 84²).

The spelling of 4766580 in words is "four million, seven hundred sixty-six thousand, five hundred eighty".