85258240 has 104 divisors (see below), whose sum is σ = 214669728. Its totient is φ = 32440320.

The previous prime is 85258223. The next prime is 85258253. The reversal of 85258240 is 4285258.

It is a junction number, because it is equal to n+sod(n) for n = 85258196 and 85258205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470950 + ... + 471130.

It is an arithmetic number, because the mean of its divisors is an integer number (2064132).

Almost surely, 2^85258240 is an apocalyptic number.

85258240 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 85258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107334864).

85258240 is an abundant number, since it is smaller than the sum of its proper divisors (129411488).

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

85258240 is a wasteful number, since it uses less digits than its factorization.

85258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 85258240 is about 9233.5388665452. The cubic root of 85258240 is about 440.1277865756.

The spelling of 85258240 in words is "eighty-five million, two hundred fifty-eight thousand, two hundred forty".