4768840 has 32 divisors (see below), whose sum is σ = 11362680. Its totient is φ = 1795072.

The previous prime is 4768831. The next prime is 4768849. The reversal of 4768840 is 488674.

4768840 = T₃₄ + T₃₅ + ... + T₃₀₅.

It is an interprime number because it is at equal distance from previous prime (4768831) and next prime (4768849).

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 77284 = 2166^2 + 278^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4768840.

It is not an unprimeable number, because it can be changed into a prime (4768849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2827 + ... + 4186.

Almost surely, 2^4768840 is an apocalyptic number.

4768840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768840 is an abundant number, since it is smaller than the sum of its proper divisors (6593840).

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

4768840 is a wasteful number, since it uses less digits than its factorization.

4768840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4768840 is about 2183.7673868798. The cubic root of 4768840 is about 168.3207214244.

It can be divided in two parts, 476 and 8840, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 4768840 in words is "four million, seven hundred sixty-eight thousand, eight hundred forty".