8320896 has 96 divisors (see below), whose sum is σ = 24822720. Its totient is φ = 2672640.

The previous prime is 8320861. The next prime is 8320903. The reversal of 8320896 is 6980238.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8320896.

It is a congruent number.

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, 35596 + ... + 35828.

It is an arithmetic number, because the mean of its divisors is an integer number (258570).

Almost surely, 2^8320896 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 8320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411360).

8320896 is an abundant number, since it is smaller than the sum of its proper divisors (16501824).

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

8320896 is a wasteful number, since it uses less digits than its factorization.

8320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8320896 is about 2884.5963322448. The cubic root of 8320896 is about 202.6391544679.

It can be divided in two parts, 8320 and 896, that added together give a square (9216 = 96²).

The spelling of 8320896 in words is "eight million, three hundred twenty thousand, eight hundred ninety-six".