85688658 has 64 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 25790400.

The previous prime is 85688627. The next prime is 85688663.

85688658 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×85688658² = 14685092219681928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 107116 + ... + 107912.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^85688658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85688658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

85688658 is an abundant number, since it is smaller than the sum of its proper divisors (123451182).

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

85688658 is a wasteful number, since it uses less digits than its factorization.

85688658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 85688658 is about 9256.8168394973. The cubic root of 85688658 is about 440.8671912544.

The spelling of 85688658 in words is "eighty-five million, six hundred eighty-eight thousand, six hundred fifty-eight".