10829650 has 24 divisors (see below), whose sum is σ = 21693924. Its totient is φ = 3998400.

The previous prime is 10829603. The next prime is 10829669. The reversal of 10829650 is 5692801.

It can be written as a sum of positive squares in 6 ways, for example, as 1990921 + 8838729 = 1411^2 + 2973^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7681 + ... + 8980.

Almost surely, 2^10829650 is an apocalyptic number.

10829650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10829650 is an abundant number, since it is smaller than the sum of its proper divisors (10864274).

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

10829650 is a wasteful number, since it uses less digits than its factorization.

10829650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16686 (or 16681 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10829650 is about 3290.8433569527. The cubic root of 10829650 is about 221.2439857069.

The spelling of 10829650 in words is "ten million, eight hundred twenty-nine thousand, six hundred fifty".