10680384 has 112 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 2979840.

The previous prime is 10680359. The next prime is 10680391. The reversal of 10680384 is 48308601.

It is a happy number.

It is a super-2 number, since 2×10680384² = 228141204774912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27262 + ... + 27650.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^10680384 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 10680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

10680384 is an abundant number, since it is smaller than the sum of its proper divisors (22603776).

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

10680384 is a wasteful number, since it uses less digits than its factorization.

10680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10680384 is about 3268.0856781914. The cubic root of 10680384 is about 220.2228045819. Note that the first 3 decimals are identical.

Adding to 10680384 its reverse (48308601), we get a palindrome (58988985).

The spelling of 10680384 in words is "ten million, six hundred eighty thousand, three hundred eighty-four".