85165120 has 56 divisors (see below), whose sum is σ = 208309464. Its totient is φ = 33140736.

The previous prime is 85165103. The next prime is 85165147. The reversal of 85165120 is 2156158.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 78570496 = 2568^2 + 8864^2 .

It is a super-2 number, since 2×85165120² = 14506195329228800, which contains 22 as substring.

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, 8244 + ... + 15436.

Almost surely, 2^85165120 is an apocalyptic number.

85165120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104154732).

85165120 is an abundant number, since it is smaller than the sum of its proper divisors (123144344).

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

85165120 is a wasteful number, since it uses less digits than its factorization.

85165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7247 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 85165120 is about 9228.4950018949. The cubic root of 85165120 is about 439.9674907111.

The spelling of 85165120 in words is "eighty-five million, one hundred sixty-five thousand, one hundred twenty".