10829916 has 48 divisors (see below), whose sum is σ = 28308000. Its totient is φ = 3580416.

The previous prime is 10829899. The next prime is 10829921. The reversal of 10829916 is 61992801.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15756 + ... + 16428.

It is an arithmetic number, because the mean of its divisors is an integer number (589750).

Almost surely, 2^10829916 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 10829916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154000).

10829916 is an abundant number, since it is smaller than the sum of its proper divisors (17478084).

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

10829916 is a wasteful number, since it uses less digits than its factorization.

10829916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10829916 is about 3290.8837718765. The cubic root of 10829916 is about 221.2457971049.

It can be divided in two parts, 1082991 and 6, that multiplied together give a palindrome (6497946).

The spelling of 10829916 in words is "ten million, eight hundred twenty-nine thousand, nine hundred sixteen".