85173120 has 320 divisors, whose sum is σ = 319904640. Its totient is φ = 21565440.

The previous prime is 85173103. The next prime is 85173133. The reversal of 85173120 is 2137158.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1607014 + ... + 1607066.

It is an arithmetic number, because the mean of its divisors is an integer number (999702).

Almost surely, 2^85173120 is an apocalyptic number.

85173120 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 85173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

85173120 is an abundant number, since it is smaller than the sum of its proper divisors (234731520).

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

85173120 is a wasteful number, since it uses less digits than its factorization.

85173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85173120 is about 9228.9284318387. The cubic root of 85173120 is about 439.9812664200.

The spelling of 85173120 in words is "eighty-five million, one hundred seventy-three thousand, one hundred twenty".