10866120 has 128 divisors (see below), whose sum is σ = 35389440. Its totient is φ = 2661120.

The previous prime is 10866103. The next prime is 10866131. The reversal of 10866120 is 2166801.

10866120 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 Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85497 + ... + 85623.

It is an arithmetic number, because the mean of its divisors is an integer number (276480).

Almost surely, 2^10866120 is an apocalyptic number.

10866120 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 10866120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694720).

10866120 is an abundant number, since it is smaller than the sum of its proper divisors (24523320).

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

10866120 is a wasteful number, since it uses less digits than its factorization.

10866120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10866120 is about 3296.3798324829. The cubic root of 10866120 is about 221.4920616708.

The spelling of 10866120 in words is "ten million, eight hundred sixty-six thousand, one hundred twenty".