82505088 has 64 divisors (see below), whose sum is σ = 243514800. Its totient is φ = 27500544.

The previous prime is 82505081. The next prime is 82505107. The reversal of 82505088 is 88050528.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82505081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8481 + ... + 15392.

Almost surely, 2^82505088 is an apocalyptic number.

It is an amenable number.

82505088 is an abundant number, since it is smaller than the sum of its proper divisors (161009712).

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

82505088 is a wasteful number, since it uses less digits than its factorization.

82505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23896 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 82505088 is about 9083.2311431561. The cubic root of 82505088 is about 435.3383336915.

The spelling of 82505088 in words is "eighty-two million, five hundred five thousand, eighty-eight".