85405168 has 20 divisors (see below), whose sum is σ = 167944360. Its totient is φ = 42064704.

The previous prime is 85405129. The next prime is 85405169. The reversal of 85405168 is 86150458.

It is a super-2 number, since 2×85405168² = 14588085442216448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85405169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38763 + ... + 40906.

It is an arithmetic number, because the mean of its divisors is an integer number (8397218).

Almost surely, 2^85405168 is an apocalyptic number.

It is an amenable number.

85405168 is a deficient number, since it is larger than the sum of its proper divisors (82539192).

85405168 is a wasteful number, since it uses less digits than its factorization.

85405168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79744 (or 79738 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 85405168 is about 9241.4916544895. The cubic root of 85405168 is about 440.3804698094.

The spelling of 85405168 in words is "eighty-five million, four hundred five thousand, one hundred sixty-eight".