4766840 has 64 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1723392.

The previous prime is 4766837. The next prime is 4766843. The reversal of 4766840 is 486674.

4766840 = 186² + 187² + ... + 274².

It is an interprime number because it is at equal distance from previous prime (4766837) and next prime (4766843).

It is a self number, because there is not a number n which added to its sum of digits gives 4766840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766843) 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, 46229 + ... + 46331.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^4766840 is an apocalyptic number.

4766840 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 4766840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4766840 is an abundant number, since it is smaller than the sum of its proper divisors (7026760).

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

4766840 is a wasteful number, since it uses less digits than its factorization.

4766840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4766840 is about 2183.3094146273. The cubic root of 4766840 is about 168.2971875031.

The spelling of 4766840 in words is "four million, seven hundred sixty-six thousand, eight hundred forty".