8278560 has 72 divisors (see below), whose sum is σ = 28255500. Its totient is φ = 2207232.

The previous prime is 8278559. The next prime is 8278561. The reversal of 8278560 is 658728.

It is an interprime number because it is at equal distance from previous prime (8278559) and next prime (8278561).

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 1245456 = 2652^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (8278561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1435 + ... + 4314.

Almost surely, 2^8278560 is an apocalyptic number.

8278560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8278560 is an abundant number, since it is smaller than the sum of its proper divisors (19976940).

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

8278560 is a wasteful number, since it uses less digits than its factorization.

8278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8278560 is about 2877.2486858108. The cubic root of 8278560 is about 202.2948997895.

The spelling of 8278560 in words is "eight million, two hundred seventy-eight thousand, five hundred sixty".