85344192 has 140 divisors (see below), whose sum is σ = 257059176. Its totient is φ = 27993600.

The previous prime is 85344179. The next prime is 85344221. The reversal of 85344192 is 29144358.

It is a super-2 number, since 2×85344192² = 14567262216265728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (288).

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 19 ways as a sum of consecutive naturals, for example, 523503 + ... + 523665.

Almost surely, 2^85344192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128529588).

85344192 is an abundant number, since it is smaller than the sum of its proper divisors (171714984).

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

85344192 is a wasteful number, since it uses less digits than its factorization.

85344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 85344192 is about 9238.1920309117. The cubic root of 85344192 is about 440.2756399602.

The spelling of 85344192 in words is "eighty-five million, three hundred forty-four thousand, one hundred ninety-two".