85198080 has 144 divisors (see below), whose sum is σ = 296985024. Its totient is φ = 20643840.

The previous prime is 85198039. The next prime is 85198097. The reversal of 85198080 is 8089158.

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, 41232 + ... + 43248.

It is an arithmetic number, because the mean of its divisors is an integer number (2062396).

Almost surely, 2^85198080 is an apocalyptic number.

85198080 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 85198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148492512).

85198080 is an abundant number, since it is smaller than the sum of its proper divisors (211786944).

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

85198080 is a wasteful number, since it uses less digits than its factorization.

85198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 85198080 is about 9230.2806024519. The cubic root of 85198080 is about 440.0242410887.

The spelling of 85198080 in words is "eighty-five million, one hundred ninety-eight thousand, eighty".