4587120 has 120 divisors (see below), whose sum is σ = 16132896. Its totient is φ = 1165824.

The previous prime is 4587119. The next prime is 4587131. The reversal of 4587120 is 217854.

4587120 = 363² + 364² + ... + 394².

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16422 + ... + 16698.

Almost surely, 2^4587120 is an apocalyptic number.

4587120 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 4587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066448).

4587120 is an abundant number, since it is smaller than the sum of its proper divisors (11545776).

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

4587120 is a wasteful number, since it uses less digits than its factorization.

4587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4587120 is about 2141.7562886566. The cubic root of 4587120 is about 166.1549817903.

It can be divided in two parts, 45 and 87120, that multiplied together give a square (3920400 = 1980²).

The spelling of 4587120 in words is "four million, five hundred eighty-seven thousand, one hundred twenty".