4661160 has 128 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1025280.

The previous prime is 4661119. The next prime is 4661161. The reversal of 4661160 is 611664.

4661160 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4661160.

It is not an unprimeable number, because it can be changed into a prime (4661161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25951 + ... + 26129.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 2^4661160 is an apocalyptic number.

4661160 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 4661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

4661160 is an abundant number, since it is smaller than the sum of its proper divisors (11927640).

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

4661160 is a wasteful number, since it uses less digits than its factorization.

4661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4661160 is about 2158.9719775856. The cubic root of 4661160 is about 167.0441753885.

The spelling of 4661160 in words is "four million, six hundred sixty-one thousand, one hundred sixty".