82925568 has 144 divisors (see below), whose sum is σ = 261916200. Its totient is φ = 25067520.

The previous prime is 82925567. The next prime is 82925569. The reversal of 82925568 is 86552928.

82925568 is a `hidden beast` number, since 8 + 2 + 92 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82925567) and next prime (82925569).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82925567) 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, 202548 + ... + 202956.

Almost surely, 2^82925568 is an apocalyptic number.

82925568 is a gapful number since it is divisible by the number (88) 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 82925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130958100).

82925568 is an abundant number, since it is smaller than the sum of its proper divisors (178990632).

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

82925568 is a wasteful number, since it uses less digits than its factorization.

82925568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 82925568 is about 9106.3476762092. The cubic root of 82925568 is about 436.0766355204.

The spelling of 82925568 in words is "eighty-two million, nine hundred twenty-five thousand, five hundred sixty-eight".