4641120 has 144 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 1121280.

The previous prime is 4641107. The next prime is 4641137. The reversal of 4641120 is 211464.

4641120 is a `hidden beast` number, since 4 + 641 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4641093 and 4641102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15694 + ... + 15986.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^4641120 is an apocalyptic number.

4641120 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 4641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

4641120 is an abundant number, since it is smaller than the sum of its proper divisors (12695472).

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

4641120 is a wasteful number, since it uses less digits than its factorization.

4641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4641120 is about 2154.3258806411. The cubic root of 4641120 is about 166.8044371954.

Adding to 4641120 its reverse (211464), we get a palindrome (4852584).

It can be divided in two parts, 4641 and 120, that added together give a square (4761 = 69²).

The spelling of 4641120 in words is "four million, six hundred forty-one thousand, one hundred twenty".