4663120 has 80 divisors (see below), whose sum is σ = 13534848. Its totient is φ = 1451520.

The previous prime is 4663111. The next prime is 4663121. The reversal of 4663120 is 213664.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4663091 and 4663100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663121) 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, 5782 + ... + 6538.

Almost surely, 2^4663120 is an apocalyptic number.

4663120 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 4663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767424).

4663120 is an abundant number, since it is smaller than the sum of its proper divisors (8871728).

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

4663120 is a wasteful number, since it uses less digits than its factorization.

4663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4663120 is about 2159.4258496184. The cubic root of 4663120 is about 167.0675859203.

Adding to 4663120 its reverse (213664), we get a palindrome (4876784).

The spelling of 4663120 in words is "four million, six hundred sixty-three thousand, one hundred twenty".