10829196 has 72 divisors (see below), whose sum is σ = 31959200. Its totient is φ = 3090528.

The previous prime is 10829191. The next prime is 10829201. The reversal of 10829196 is 69192801.

10829196 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10829191) and next prime (10829201).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10829196.

It is not an unprimeable number, because it can be changed into a prime (10829191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11910 + ... + 12786.

Almost surely, 2^10829196 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 10829196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979600).

10829196 is an abundant number, since it is smaller than the sum of its proper divisors (21130004).

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

10829196 is a wasteful number, since it uses less digits than its factorization.

10829196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 889 counting only the distinct ones).

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

The square root of 10829196 is about 3290.7743769514. The cubic root of 10829196 is about 221.2408940042.

It can be divided in two parts, 10829 and 196, that added together give a square (11025 = 105²).

The spelling of 10829196 in words is "ten million, eight hundred twenty-nine thousand, one hundred ninety-six".