85288440 has 128 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 21696000.

The previous prime is 85288421. The next prime is 85288447. The reversal of 85288440 is 4488258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85288447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375607 + ... + 375833.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2^85288440 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 85288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

85288440 is an abundant number, since it is smaller than the sum of its proper divisors (182620680).

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

85288440 is a wasteful number, since it uses less digits than its factorization.

85288440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 85288440 is about 9235.1740644126. The cubic root of 85288440 is about 440.1797474967.

The spelling of 85288440 in words is "eighty-five million, two hundred eighty-eight thousand, four hundred forty".