85688361 has 24 divisors (see below), whose sum is σ = 140029344. Its totient is φ = 51930720.

The previous prime is 85688341. The next prime is 85688389. The reversal of 85688361 is 16388658.

85688361 is a `hidden beast` number, since 8 + 568 + 83 + 6 + 1 = 666.

It is not a de Polignac number, because 85688361 - 2⁵ = 85688329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85688311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13356 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (5834556).

Almost surely, 2^85688361 is an apocalyptic number.

85688361 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85688361 is a deficient number, since it is larger than the sum of its proper divisors (54340983).

85688361 is a wasteful number, since it uses less digits than its factorization.

85688361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32083 (or 32071 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85688361 is about 9256.8007972517. The cubic root of 85688361 is about 440.8666818999.

The spelling of 85688361 in words is "eighty-five million, six hundred eighty-eight thousand, three hundred sixty-one".