10872864 has 72 divisors (see below), whose sum is σ = 32563440. Its totient is φ = 3431808.

The previous prime is 10872853. The next prime is 10872881. The reversal of 10872864 is 46827801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4479 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (452270).

Almost surely, 2^10872864 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 10872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281720).

10872864 is an abundant number, since it is smaller than the sum of its proper divisors (21690576).

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

10872864 is a wasteful number, since it uses less digits than its factorization.

10872864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10872864 is about 3297.4026141798. The cubic root of 10872864 is about 221.5378748204.

The spelling of 10872864 in words is "ten million, eight hundred seventy-two thousand, eight hundred sixty-four".