4968120 has 64 divisors (see below), whose sum is σ = 15696000. Its totient is φ = 1254528.

The previous prime is 4968109. The next prime is 4968121. The reversal of 4968120 is 218694.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1191 + ... + 3369.

It is an arithmetic number, because the mean of its divisors is an integer number (245250).

Almost surely, 2^4968120 is an apocalyptic number.

4968120 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 4968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848000).

4968120 is an abundant number, since it is smaller than the sum of its proper divisors (10727880).

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

4968120 is a wasteful number, since it uses less digits than its factorization.

4968120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4968120 is about 2228.9279934534. The cubic root of 4968120 is about 170.6333926288.

The spelling of 4968120 in words is "four million, nine hundred sixty-eight thousand, one hundred twenty".