10825880 has 64 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3939840.

The previous prime is 10825831. The next prime is 10825883. The reversal of 10825880 is 8852801.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56585 + ... + 56775.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^10825880 is an apocalyptic number.

10825880 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 10825880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

10825880 is an abundant number, since it is smaller than the sum of its proper divisors (15785320).

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

10825880 is a wasteful number, since it uses less digits than its factorization.

10825880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 10825880 is about 3290.2705055968. The cubic root of 10825880 is about 221.2183096961.

The spelling of 10825880 in words is "ten million, eight hundred twenty-five thousand, eight hundred eighty".