10800864 has 84 divisors (see below), whose sum is σ = 31950576. Its totient is φ = 3592512.

The previous prime is 10800857. The next prime is 10800871. The reversal of 10800864 is 46800801.

It is an interprime number because it is at equal distance from previous prime (10800857) and next prime (10800871).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23097 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (380364).

Almost surely, 2^10800864 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 10800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975288).

10800864 is an abundant number, since it is smaller than the sum of its proper divisors (21149712).

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

10800864 is an frugal number, since it uses more digits than its factorization.

10800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10800864 is about 3286.4667958158. The cubic root of 10800864 is about 221.0477842116.

It can be divided in two parts, 10800 and 864, that added together give a square (11664 = 108²).

The spelling of 10800864 in words is "ten million, eight hundred thousand, eight hundred sixty-four".