8288180 has 48 divisors (see below), whose sum is σ = 19414080. Its totient is φ = 2953728.

The previous prime is 8288179. The next prime is 8288183. The reversal of 8288180 is 818828.

It is a self number, because there is not a number n which added to its sum of digits gives 8288180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8288183) 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, 5819 + ... + 7101.

It is an arithmetic number, because the mean of its divisors is an integer number (404460).

Almost surely, 2^8288180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8288180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707040).

8288180 is an abundant number, since it is smaller than the sum of its proper divisors (11125900).

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

8288180 is a wasteful number, since it uses less digits than its factorization.

8288180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 8288180 is about 2878.9199363650. The cubic root of 8288180 is about 202.3732275670.

It can be divided in two parts, 828 and 8180, that multiplied together give a triangular number (6773040 = T₃₆₈₀).

The spelling of 8288180 in words is "eight million, two hundred eighty-eight thousand, one hundred eighty".