10875360 has 96 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 2861568.

The previous prime is 10875341. The next prime is 10875367. The reversal of 10875360 is 6357801.

10875360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10875367) 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, 66639 + ... + 66801.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^10875360 is an apocalyptic number.

10875360 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 10875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

10875360 is an abundant number, since it is smaller than the sum of its proper divisors (23840160).

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

10875360 is a wasteful number, since it uses less digits than its factorization.

10875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10875360 is about 3297.7810721757. The cubic root of 10875360 is about 221.5548257736.

The spelling of 10875360 in words is "ten million, eight hundred seventy-five thousand, three hundred sixty".