85189440 has 168 divisors, whose sum is σ = 314809632. Its totient is φ = 19461120.

The previous prime is 85189439. The next prime is 85189453. The reversal of 85189440 is 4498158.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46135 + ... + 47945.

Almost surely, 2^85189440 is an apocalyptic number.

85189440 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 85189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157404816).

85189440 is an abundant number, since it is smaller than the sum of its proper divisors (229620192).

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

85189440 is a wasteful number, since it uses less digits than its factorization.

85189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 85189440 is about 9229.8125658109. The cubic root of 85189440 is about 440.0093661918.

The spelling of 85189440 in words is "eighty-five million, one hundred eighty-nine thousand, four hundred forty".