82288580 has 24 divisors (see below), whose sum is σ = 188516160. Its totient is φ = 29923040.

The previous prime is 82288571. The next prime is 82288589. The reversal of 82288580 is 8588228.

It is an interprime number because it is at equal distance from previous prime (82288571) and next prime (82288589).

It is not an unprimeable number, because it can be changed into a prime (82288589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186800 + ... + 187239.

It is an arithmetic number, because the mean of its divisors is an integer number (7854840).

Almost surely, 2^82288580 is an apocalyptic number.

It is an amenable number.

82288580 is an abundant number, since it is smaller than the sum of its proper divisors (106227580).

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

82288580 is a wasteful number, since it uses less digits than its factorization.

82288580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374059 (or 374057 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 82288580 is about 9071.3053084989. The cubic root of 82288580 is about 434.9571984134.

The spelling of 82288580 in words is "eighty-two million, two hundred eighty-eight thousand, five hundred eighty".