10518768 has 80 divisors (see below), whose sum is σ = 32532640. Its totient is φ = 3234816.

The previous prime is 10518757. The next prime is 10518773. The reversal of 10518768 is 86781501.

It is a super-2 number, since 2×10518768² = 221288960475648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4680 + ... + 6552.

It is an arithmetic number, because the mean of its divisors is an integer number (406658).

Almost surely, 2^10518768 is an apocalyptic number.

10518768 is a gapful number since it is divisible by the number (18) 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 10518768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266320).

10518768 is an abundant number, since it is smaller than the sum of its proper divisors (22013872).

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

10518768 is a wasteful number, since it uses less digits than its factorization.

10518768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 10518768 is about 3243.2650215485. The cubic root of 10518768 is about 219.1063472981.

The spelling of 10518768 in words is "ten million, five hundred eighteen thousand, seven hundred sixty-eight".