4668040 has 64 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1678080.

The previous prime is 4668023. The next prime is 4668049. The reversal of 4668040 is 408664.

4668040 is a nontrivial binomial coefficient, being equal to C(3056, 2).

It is not an unprimeable number, because it can be changed into a prime (4668049) 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, 24345 + ... + 24535.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^4668040 is an apocalyptic number.

4668040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4668040 is the 3055-th triangular number and also the 1528-th hexagonal number.

4668040 is the 1019-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4668040 is an abundant number, since it is smaller than the sum of its proper divisors (6944120).

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

4668040 is a wasteful number, since it uses less digits than its factorization.

4668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4668040 is about 2160.5647409879. The cubic root of 4668040 is about 167.1263222462.

It can be divided in two parts, 46 and 68040, that added together give a palindrome (68086).

The spelling of 4668040 in words is "four million, six hundred sixty-eight thousand, forty".