10872180 has 216 divisors, whose sum is σ = 40229280. Its totient is φ = 2350080.

The previous prime is 10872179. The next prime is 10872193. The reversal of 10872180 is 8127801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572211 + ... + 572229.

Almost surely, 2^10872180 is an apocalyptic number.

10872180 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 10872180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114640).

10872180 is an abundant number, since it is smaller than the sum of its proper divisors (29357100).

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

10872180 is a wasteful number, since it uses less digits than its factorization.

10872180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10872180 is about 3297.2988945499. The cubic root of 10872180 is about 221.5332291544.

Adding to 10872180 its reverse (8127801), we get a palindrome (18999981).

It can be divided in two parts, 108721 and 80, that added together give a palindrome (108801).

The spelling of 10872180 in words is "ten million, eight hundred seventy-two thousand, one hundred eighty".