4678560 has 180 divisors, whose sum is σ = 17426178. Its totient is φ = 1181952.

The previous prime is 4678549. The next prime is 4678561. The reversal of 4678560 is 658764.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 467856 = 2052^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (4678561) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 246231 + ... + 246249.

Almost surely, 2^4678560 is an apocalyptic number.

4678560 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 4678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713089).

4678560 is an abundant number, since it is smaller than the sum of its proper divisors (12747618).

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

4678560 is a wasteful number, since it uses less digits than its factorization.

4678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

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

The square root of 4678560 is about 2162.9979195552. The cubic root of 4678560 is about 167.2517745996.

It can be divided in two parts, 46 and 78560, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 4678560 in words is "four million, six hundred seventy-eight thousand, five hundred sixty".