10879200 has 108 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 2899200.

The previous prime is 10879199. The next prime is 10879223. The reversal of 10879200 is 297801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6445 + ... + 7955.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^10879200 is an apocalyptic number.

10879200 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 10879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194084).

10879200 is an abundant number, since it is smaller than the sum of its proper divisors (27508968).

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

10879200 is a wasteful number, since it uses less digits than its factorization.

10879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10879200 is about 3298.3632304523. The cubic root of 10879200 is about 221.5808990996.

The spelling of 10879200 in words is "ten million, eight hundred seventy-nine thousand, two hundred".