8255520 has 360 divisors, whose sum is σ = 36498924. Its totient is φ = 1741824.

The previous prime is 8255509. The next prime is 8255521. The reversal of 8255520 is 255528.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 571536 = 2772^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8255520² = 136307220940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8255521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 635034 + ... + 635046.

Almost surely, 2^8255520 is an apocalyptic number.

8255520 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 8255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249462).

8255520 is an abundant number, since it is smaller than the sum of its proper divisors (28243404).

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

8255520 is a wasteful number, since it uses less digits than its factorization.

8255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 8255520 is about 2873.2420712498. The cubic root of 8255520 is about 202.1070569331.

The spelling of 8255520 in words is "eight million, two hundred fifty-five thousand, five hundred twenty".