85695744 has 72 divisors (see below), whose sum is σ = 229516672. Its totient is φ = 28385280.

The previous prime is 85695733. The next prime is 85695787. The reversal of 85695744 is 44759658.

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

It is a junction number, because it is equal to n+sod(n) for n = 85695693 and 85695702.

It is a congruent number.

It is an unprimeable number.

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, 184857 + ... + 185319.

Almost surely, 2^85695744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85695744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114758336).

85695744 is an abundant number, since it is smaller than the sum of its proper divisors (143820928).

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

85695744 is a wasteful number, since it uses less digits than its factorization.

85695744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 85695744 is about 9257.1995765458. The cubic root of 85695744 is about 440.8793433832.

The spelling of 85695744 in words is "eighty-five million, six hundred ninety-five thousand, seven hundred forty-four".