10829896 has 32 divisors (see below), whose sum is σ = 25318080. Its totient is φ = 4219200.

The previous prime is 10829887. The next prime is 10829899. The reversal of 10829896 is 69892801.

10829896 = 91² + 92² + ... + 321².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10829899) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8175 + ... + 9406.

It is an arithmetic number, because the mean of its divisors is an integer number (791190).

Almost surely, 2^10829896 is an apocalyptic number.

It is an amenable number.

10829896 is an abundant number, since it is smaller than the sum of its proper divisors (14488184).

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

10829896 is a wasteful number, since it uses less digits than its factorization.

10829896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17605 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 10829896 is about 3290.8807331777. The cubic root of 10829896 is about 221.2456609106.

The spelling of 10829896 in words is "ten million, eight hundred twenty-nine thousand, eight hundred ninety-six".