85403164 has 48 divisors (see below), whose sum is σ = 190907136. Its totient is φ = 32457600.

The previous prime is 85403147. The next prime is 85403177. The reversal of 85403164 is 46130458.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9247 + ... + 16009.

It is an arithmetic number, because the mean of its divisors is an integer number (3977232).

Almost surely, 2^85403164 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 85403164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95453568).

85403164 is an abundant number, since it is smaller than the sum of its proper divisors (105503972).

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

85403164 is a wasteful number, since it uses less digits than its factorization.

85403164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 85403164 is about 9241.3832297984. The cubic root of 85403164 is about 440.3770253287.

The spelling of 85403164 in words is "eighty-five million, four hundred three thousand, one hundred sixty-four".