10683616 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 4894720.

The previous prime is 10683611. The next prime is 10683653. The reversal of 10683616 is 61638601.

It is a super-2 number, since 2×10683616² = 228279301670912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10683611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22065 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^10683616 is an apocalyptic number.

10683616 is a gapful number since it is divisible by the number (16) 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 10683616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10683616 is an abundant number, since it is smaller than the sum of its proper divisors (12177824).

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

10683616 is a wasteful number, since it uses less digits than its factorization.

10683616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10683616 is about 3268.5801198686. The cubic root of 10683616 is about 220.2450162777.

The spelling of 10683616 in words is "ten million, six hundred eighty-three thousand, six hundred sixteen".