82564680 has 64 divisors (see below), whose sum is σ = 270216000. Its totient is φ = 20015360.

The previous prime is 82564673. The next prime is 82564681. The reversal of 82564680 is 8646528.

82564680 = T₃₈₆₉ + T₃₈₇₀ + ... + T₃₈₇₉.

It is not an unprimeable number, because it can be changed into a prime (82564681) 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, 29955 + ... + 32594.

It is an arithmetic number, because the mean of its divisors is an integer number (4222125).

Almost surely, 2^82564680 is an apocalyptic number.

It is an amenable number.

82564680 is an abundant number, since it is smaller than the sum of its proper divisors (187651320).

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

82564680 is a wasteful number, since it uses less digits than its factorization.

82564680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62574 (or 62570 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 82564680 is about 9086.5108815210. The cubic root of 82564680 is about 435.4431209199.

The spelling of 82564680 in words is "eighty-two million, five hundred sixty-four thousand, six hundred eighty".