4865640 has 64 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1197312.

The previous prime is 4865629. The next prime is 4865647. The reversal of 4865640 is 465684.

It is a happy number.

4865640 is a nontrivial binomial coefficient, being equal to C(3120, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4865647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^4865640 is an apocalyptic number.

4865640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4865640 is the 3119-th triangular number and also the 1560-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4865640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

4865640 is an abundant number, since it is smaller than the sum of its proper divisors (10859160).

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

4865640 is a wasteful number, since it uses less digits than its factorization.

4865640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4865640 is about 2205.8195755773. The cubic root of 4865640 is about 169.4519838583.

The spelling of 4865640 in words is "four million, eight hundred sixty-five thousand, six hundred forty".