85191120 has 120 divisors (see below), whose sum is σ = 326990976. Its totient is φ = 19471104.

The previous prime is 85191109. The next prime is 85191167. The reversal of 85191120 is 2119158.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412 + ... + 13491.

Almost surely, 2^85191120 is an apocalyptic number.

85191120 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 85191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163495488).

85191120 is an abundant number, since it is smaller than the sum of its proper divisors (241799856).

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

85191120 is a wasteful number, since it uses less digits than its factorization.

85191120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 85191120 is about 9229.9035747943. The cubic root of 85191120 is about 440.0122586116.

The spelling of 85191120 in words is "eighty-five million, one hundred ninety-one thousand, one hundred twenty".