85432144 has 60 divisors (see below), whose sum is σ = 196135264. Its totient is φ = 35312256.

The previous prime is 85432141. The next prime is 85432153. The reversal of 85432144 is 44123458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85432141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93739 + ... + 94645.

Almost surely, 2^85432144 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 85432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98067632).

85432144 is an abundant number, since it is smaller than the sum of its proper divisors (110703120).

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

85432144 is a wasteful number, since it uses less digits than its factorization.

85432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 945 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 85432144 is about 9242.9510439037. The cubic root of 85432144 is about 440.4268309891.

The spelling of 85432144 in words is "eighty-five million, four hundred thirty-two thousand, one hundred forty-four".