5010768 has 80 divisors (see below), whose sum is σ = 16447360. Its totient is φ = 1430784.

The previous prime is 5010763. The next prime is 5010769. The reversal of 5010768 is 8670105.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010763) 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, 2196 + ... + 3852.

It is an arithmetic number, because the mean of its divisors is an integer number (205592).

Almost surely, 2^5010768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223680).

5010768 is an abundant number, since it is smaller than the sum of its proper divisors (11436592).

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

5010768 is a wasteful number, since it uses less digits than its factorization.

5010768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5010768 is about 2238.4744805336. The cubic root of 5010768 is about 171.1202601256.

It can be divided in two parts, 5010 and 768, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 5010768 in words is "five million, ten thousand, seven hundred sixty-eight".