8100864 has 88 divisors (see below), whose sum is σ = 24072720. Its totient is φ = 2691072.

The previous prime is 8100811. The next prime is 8100871. The reversal of 8100864 is 4680018.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27502 + ... + 27794.

Almost surely, 2^8100864 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 8100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12036360).

8100864 is an abundant number, since it is smaller than the sum of its proper divisors (15971856).

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

8100864 is a wasteful number, since it uses less digits than its factorization.

8100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

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

The square root of 8100864 is about 2846.2016794317. The cubic root of 8100864 is about 200.8370253889.

The spelling of 8100864 in words is "eight million, one hundred thousand, eight hundred sixty-four".