4642120 has 64 divisors (see below), whose sum is σ = 12182400. Its totient is φ = 1559040.

The previous prime is 4642093. The next prime is 4642123. The reversal of 4642120 is 212464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642123) 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, 16380 + ... + 16660.

It is an arithmetic number, because the mean of its divisors is an integer number (190350).

Almost surely, 2^4642120 is an apocalyptic number.

4642120 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 4642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091200).

4642120 is an abundant number, since it is smaller than the sum of its proper divisors (7540280).

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

4642120 is a wasteful number, since it uses less digits than its factorization.

4642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4642120 is about 2154.5579593039. The cubic root of 4642120 is about 166.8164165207.

Adding to 4642120 its reverse (212464), we get a palindrome (4854584).

It can be divided in two parts, 4642 and 120, that multiplied together give a triangular number (557040 = T₁₀₅₅).

The spelling of 4642120 in words is "four million, six hundred forty-two thousand, one hundred twenty".