85895760 has 80 divisors (see below), whose sum is σ = 267197184. Its totient is φ = 22826496.

The previous prime is 85895749. The next prime is 85895773. The reversal of 85895760 is 6759858.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110734 + ... + 111506.

Almost surely, 2^85895760 is an apocalyptic number.

85895760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85895760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133598592).

85895760 is an abundant number, since it is smaller than the sum of its proper divisors (181301424).

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

85895760 is a wasteful number, since it uses less digits than its factorization.

85895760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 85895760 is about 9267.9965472587. The cubic root of 85895760 is about 441.2220846536. Note that the first 3 decimals are identical.

The spelling of 85895760 in words is "eighty-five million, eight hundred ninety-five thousand, seven hundred sixty".