10829856 has 48 divisors (see below), whose sum is σ = 28746144. Its totient is φ = 3569664.

The previous prime is 10829837. The next prime is 10829887. The reversal of 10829856 is 65892801.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8731 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (598878).

Almost surely, 2^10829856 is an apocalyptic number.

10829856 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 10829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373072).

10829856 is an abundant number, since it is smaller than the sum of its proper divisors (17916288).

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

10829856 is a wasteful number, since it uses less digits than its factorization.

10829856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 10829856 is about 3290.8746557716. The cubic root of 10829856 is about 221.2453885215.

The spelling of 10829856 in words is "ten million, eight hundred twenty-nine thousand, eight hundred fifty-six".