85184000 has 160 divisors (see below), whose sum is σ = 233636832. Its totient is φ = 30976000.

The previous prime is 85183981. The next prime is 85184017. The reversal of 85184000 is 48158.

The cubic root of 85184000 is 440.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (160).

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, 7743995 + ... + 7744005.

Almost surely, 2^85184000 is an apocalyptic number.

85184000 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 85184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116818416).

85184000 is an abundant number, since it is smaller than the sum of its proper divisors (148452832).

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

85184000 is an frugal number, since it uses more digits than its factorization.

85184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 85184000 is about 9229.5178638973.

The spelling of 85184000 in words is "eighty-five million, one hundred eighty-four thousand".