85813760 has 40 divisors (see below), whose sum is σ = 205758036. Its totient is φ = 34324480.

The previous prime is 85813757. The next prime is 85813781. The reversal of 85813760 is 6731858.

It can be written as a sum of positive squares in 2 ways, for example, as 82882816 + 2930944 = 9104^2 + 1712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14201 + ... + 19320.

Almost surely, 2^85813760 is an apocalyptic number.

85813760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85813760 is an abundant number, since it is smaller than the sum of its proper divisors (119944276).

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

85813760 is an equidigital number, since it uses as much as digits as its factorization.

85813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33544 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 85813760 is about 9263.5716653999. The cubic root of 85813760 is about 441.0816363935.

The spelling of 85813760 in words is "eighty-five million, eight hundred thirteen thousand, seven hundred sixty".