10825440 has 96 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 2732544.

The previous prime is 10825411. The next prime is 10825453. The reversal of 10825440 is 4452801.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10825440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8527 + ... + 9713.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^10825440 is an apocalyptic number.

10825440 is a gapful number since it is divisible by the number (10) 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 10825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

10825440 is an abundant number, since it is smaller than the sum of its proper divisors (25099680).

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

10825440 is a wasteful number, since it uses less digits than its factorization.

10825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10825440 is about 3290.2036411140. The cubic root of 10825440 is about 221.2153126379.

The spelling of 10825440 in words is "ten million, eight hundred twenty-five thousand, four hundred forty".