10825248 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3041280.

The previous prime is 10825237. The next prime is 10825259. The reversal of 10825248 is 84252801.

It is an interprime number because it is at equal distance from previous prime (10825237) and next prime (10825259).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59718 + ... + 59898.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^10825248 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 10825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10825248 is an abundant number, since it is smaller than the sum of its proper divisors (22196832).

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

10825248 is a wasteful number, since it uses less digits than its factorization.

10825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10825248 is about 3290.1744634593. The cubic root of 10825248 is about 221.2140048053.

The spelling of 10825248 in words is "ten million, eight hundred twenty-five thousand, two hundred forty-eight".