10879248 has 80 divisors (see below), whose sum is σ = 30156800. Its totient is φ = 3369600.

The previous prime is 10879247. The next prime is 10879249. The reversal of 10879248 is 84297801.

It is an interprime number because it is at equal distance from previous prime (10879247) and next prime (10879249).

It is not an unprimeable number, because it can be changed into a prime (10879241) 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, 71973 + ... + 72123.

It is an arithmetic number, because the mean of its divisors is an integer number (376960).

Almost surely, 2^10879248 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 10879248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078400).

10879248 is an abundant number, since it is smaller than the sum of its proper divisors (19277552).

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

10879248 is a wasteful number, since it uses less digits than its factorization.

10879248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 10879248 is about 3298.3705067806. The cubic root of 10879248 is about 221.5812249773.

The spelling of 10879248 in words is "ten million, eight hundred seventy-nine thousand, two hundred forty-eight".