10876160 has 72 divisors (see below), whose sum is σ = 27042120. Its totient is φ = 4186112.

The previous prime is 10876147. The next prime is 10876169. The reversal of 10876160 is 6167801.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 7311616 = 1888^2 + 2704^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10876169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36974 + ... + 37266.

It is an arithmetic number, because the mean of its divisors is an integer number (375585).

Almost surely, 2^10876160 is an apocalyptic number.

10876160 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 10876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521060).

10876160 is an abundant number, since it is smaller than the sum of its proper divisors (16165960).

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

10876160 is an equidigital number, since it uses as much as digits as its factorization.

10876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10876160 is about 3297.9023636245. The cubic root of 10876160 is about 221.5602582226.

It can be divided in two parts, 10 and 876160, that multiplied together give a square (8761600 = 2960²).

The spelling of 10876160 in words is "ten million, eight hundred seventy-six thousand, one hundred sixty".