85409940 has 288 divisors, whose sum is σ = 321753600. Its totient is φ = 16692480.

The previous prime is 85409939. The next prime is 85409953. The reversal of 85409940 is 4990458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614391 + ... + 614529.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^85409940 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 85409940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

85409940 is an abundant number, since it is smaller than the sum of its proper divisors (236343660).

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

85409940 is a wasteful number, since it uses less digits than its factorization.

85409940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85409940 is about 9241.7498343117. The cubic root of 85409940 is about 440.3886717193.

The spelling of 85409940 in words is "eighty-five million, four hundred nine thousand, nine hundred forty".