4678120 has 16 divisors (see below), whose sum is σ = 10525860. Its totient is φ = 1871232.

The previous prime is 4678109. The next prime is 4678133. The reversal of 4678120 is 218764.

It can be written as a sum of positive squares in 2 ways, for example, as 4334724 + 343396 = 2082^2 + 586^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58437 + ... + 58516.

Almost surely, 2^4678120 is an apocalyptic number.

4678120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4678120 is an abundant number, since it is smaller than the sum of its proper divisors (5847740).

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

4678120 is a wasteful number, since it uses less digits than its factorization.

4678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116964 (or 116960 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 4678120 is about 2162.8962064787. The cubic root of 4678120 is about 167.2465313134.

The spelling of 4678120 in words is "four million, six hundred seventy-eight thousand, one hundred twenty".