8290560 has 144 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 2064384.

The previous prime is 8290559. The next prime is 8290561. The reversal of 8290560 is 650928.

It is an interprime number because it is at equal distance from previous prime (8290559) and next prime (8290561).

It is a super-2 number, since 2×8290560² = 137466770227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65217 + ... + 65343.

It is an arithmetic number, because the mean of its divisors is an integer number (196224).

Almost surely, 2^8290560 is an apocalyptic number.

8290560 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 8290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

8290560 is an abundant number, since it is smaller than the sum of its proper divisors (19965696).

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

8290560 is a wasteful number, since it uses less digits than its factorization.

8290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 8290560 is about 2879.3332561550. Note that the first 3 decimals coincide. The cubic root of 8290560 is about 202.3925966036.

The spelling of 8290560 in words is "eight million, two hundred ninety thousand, five hundred sixty".