85385760 has 48 divisors (see below), whose sum is σ = 268966656. Its totient is φ = 22769408.

The previous prime is 85385743. The next prime is 85385761. The reversal of 85385760 is 6758358.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (85385761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88464 + ... + 89423.

It is an arithmetic number, because the mean of its divisors is an integer number (5603472).

Almost surely, 2^85385760 is an apocalyptic number.

85385760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85385760 is an abundant number, since it is smaller than the sum of its proper divisors (183580896).

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

85385760 is a wasteful number, since it uses less digits than its factorization.

85385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177905 (or 177897 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 85385760 is about 9240.4415478915. The cubic root of 85385760 is about 440.3471090193.

The spelling of 85385760 in words is "eighty-five million, three hundred eighty-five thousand, seven hundred sixty".