8390560 has 36 divisors (see below), whose sum is σ = 19909638. Its totient is φ = 3341568.

The previous prime is 8390549. The next prime is 8390587. The reversal of 8390560 is 650938.

It can be written as a sum of positive squares in 3 ways, for example, as 8363664 + 26896 = 2892^2 + 164^2 .

It is a super-2 number, since 2×8390560² = 140802994227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36526 + ... + 36754.

Almost surely, 2^8390560 is an apocalyptic number.

8390560 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 8390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954819).

8390560 is an abundant number, since it is smaller than the sum of its proper divisors (11519078).

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

8390560 is an equidigital number, since it uses as much as digits as its factorization.

8390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 8390560 is about 2896.6463367142. The cubic root of 8390560 is about 203.2030937591.

The spelling of 8390560 in words is "eight million, three hundred ninety thousand, five hundred sixty".