85187680 has 48 divisors (see below), whose sum is σ = 213101280. Its totient is φ = 32069632.

The previous prime is 85187671. The next prime is 85187701. The reversal of 85187680 is 8678158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12940 + ... + 18379.

It is an arithmetic number, because the mean of its divisors is an integer number (4439610).

Almost surely, 2^85187680 is an apocalyptic number.

85187680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85187680 is an abundant number, since it is smaller than the sum of its proper divisors (127913600).

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

85187680 is a wasteful number, since it uses less digits than its factorization.

85187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31351 (or 31343 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 85187680 is about 9229.7172221038. The cubic root of 85187680 is about 440.0063359969.

The spelling of 85187680 in words is "eighty-five million, one hundred eighty-seven thousand, six hundred eighty".