85693952 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 38725632.

The previous prime is 85693939. The next prime is 85693963. The reversal of 85693952 is 25939658.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85693897 and 85693906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223553 + ... + 223935.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^85693952 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 85693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

85693952 is an abundant number, since it is smaller than the sum of its proper divisors (102865408).

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

85693952 is a wasteful number, since it uses less digits than its factorization.

85693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The square root of 85693952 is about 9257.1027865094. The cubic root of 85693952 is about 440.8762702578.

It can be divided in two parts, 8569 and 3952, that added together give a palindrome (12521).

The spelling of 85693952 in words is "eighty-five million, six hundred ninety-three thousand, nine hundred fifty-two".