85982160 has 80 divisors (see below), whose sum is σ = 290784960. Its totient is φ = 20843520.

The previous prime is 85982147. The next prime is 85982167. The reversal of 85982160 is 6128958.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85982167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13645 + ... + 18924.

It is an arithmetic number, because the mean of its divisors is an integer number (3634812).

Almost surely, 2^85982160 is an apocalyptic number.

85982160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85982160 is an abundant number, since it is smaller than the sum of its proper divisors (204802800).

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

85982160 is a wasteful number, since it uses less digits than its factorization.

85982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596 (or 32590 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 85982160 is about 9272.6565772706. The cubic root of 85982160 is about 441.3699724868.

The spelling of 85982160 in words is "eighty-five million, nine hundred eighty-two thousand, one hundred sixty".