4839120 has 240 divisors, whose sum is σ = 19498752. Its totient is φ = 1059840.

The previous prime is 4839113. The next prime is 4839127. The reversal of 4839120 is 219384.

It is an interprime number because it is at equal distance from previous prime (4839113) and next prime (4839127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4839127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 102937 + ... + 102983.

Almost surely, 2^4839120 is an apocalyptic number.

4839120 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 4839120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

4839120 is an abundant number, since it is smaller than the sum of its proper divisors (14659632).

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

4839120 is a wasteful number, since it uses less digits than its factorization.

4839120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4839120 is about 2199.7999909083. The cubic root of 4839120 is about 169.1435587948.

The spelling of 4839120 in words is "four million, eight hundred thirty-nine thousand, one hundred twenty".