85320144 has 240 divisors, whose sum is σ = 311980032. Its totient is φ = 21123072.

The previous prime is 85320121. The next prime is 85320163. The reversal of 85320144 is 44102358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222577 + ... + 222959.

Almost surely, 2^85320144 is an apocalyptic number.

85320144 is a gapful number since it is divisible by the number (84) 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 85320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

85320144 is an abundant number, since it is smaller than the sum of its proper divisors (226659888).

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

85320144 is a wasteful number, since it uses less digits than its factorization.

85320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85320144 is about 9236.8903858387. The cubic root of 85320144 is about 440.2342829448.

The spelling of 85320144 in words is "eighty-five million, three hundred twenty thousand, one hundred forty-four".