85695520 has 48 divisors (see below), whose sum is σ = 203853888. Its totient is φ = 34041600.

The previous prime is 85695497. The next prime is 85695527. The reversal of 85695520 is 2559658.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (85695527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22387 + ... + 25933.

It is an arithmetic number, because the mean of its divisors is an integer number (4246956).

Almost surely, 2^85695520 is an apocalyptic number.

85695520 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 85695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101926944).

85695520 is an abundant number, since it is smaller than the sum of its proper divisors (118158368).

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

85695520 is a wasteful number, since it uses less digits than its factorization.

85695520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The square root of 85695520 is about 9257.1874778466. The cubic root of 85695520 is about 440.8789592448.

The spelling of 85695520 in words is "eighty-five million, six hundred ninety-five thousand, five hundred twenty".