4987120 has 80 divisors (see below), whose sum is σ = 12990240. Its totient is φ = 1769472.

The previous prime is 4987109. The next prime is 4987127. The reversal of 4987120 is 217894.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4987127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25744 + ... + 25936.

It is an arithmetic number, because the mean of its divisors is an integer number (162378).

Almost surely, 2^4987120 is an apocalyptic number.

4987120 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 4987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495120).

4987120 is an abundant number, since it is smaller than the sum of its proper divisors (8003120).

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

4987120 is a wasteful number, since it uses less digits than its factorization.

4987120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 4987120 is about 2233.1860647962. The cubic root of 4987120 is about 170.8506384743.

The spelling of 4987120 in words is "four million, nine hundred eighty-seven thousand, one hundred twenty".