85652080 has 40 divisors (see below), whose sum is σ = 206013600. Its totient is φ = 33078528.

The previous prime is 85652071. The next prime is 85652089. The reversal of 85652080 is 8025658.

It is an interprime number because it is at equal distance from previous prime (85652071) and next prime (85652089).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85652089) 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, 16140 + ... + 20779.

It is an arithmetic number, because the mean of its divisors is an integer number (5150340).

Almost surely, 2^85652080 is an apocalyptic number.

85652080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85652080 is an abundant number, since it is smaller than the sum of its proper divisors (120361520).

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

85652080 is a wasteful number, since it uses less digits than its factorization.

85652080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36961 (or 36955 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 85652080 is about 9254.8408954449. The cubic root of 85652080 is about 440.8044511920.

The spelling of 85652080 in words is "eighty-five million, six hundred fifty-two thousand, eighty".