10825696 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 4487040.

The previous prime is 10825673. The next prime is 10825697. The reversal of 10825696 is 69652801.

10825696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6165 + ... + 7723.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^10825696 is an apocalyptic number.

10825696 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 10825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

10825696 is an abundant number, since it is smaller than the sum of its proper divisors (14333984).

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

10825696 is a wasteful number, since it uses less digits than its factorization.

10825696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 10825696 is about 3290.2425442511. The cubic root of 10825696 is about 221.2170563907.

The spelling of 10825696 in words is "ten million, eight hundred twenty-five thousand, six hundred ninety-six".