8456320 has 64 divisors (see below), whose sum is σ = 20606040. Its totient is φ = 3317760.

The previous prime is 8456303. The next prime is 8456333. The reversal of 8456320 is 236548.

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 4096576 = 2088^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 8³ + 4⁸ + 5³ + 6⁴ + 3⁵ + 2²³ + 0 .

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, 46630 + ... + 46810.

Almost surely, 2^8456320 is an apocalyptic number.

8456320 is a gapful number since it is divisible by the number (80) 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 8456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10303020).

8456320 is an abundant number, since it is smaller than the sum of its proper divisors (12149720).

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

8456320 is a wasteful number, since it uses less digits than its factorization.

8456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 8456320 is about 2907.9752406099. The cubic root of 8456320 is about 203.7325728128.

The spelling of 8456320 in words is "eight million, four hundred fifty-six thousand, three hundred twenty".