85242240 has 128 divisors (see below), whose sum is σ = 301960800. Its totient is φ = 22726656.

The previous prime is 85242229. The next prime is 85242257. The reversal of 85242240 is 4224258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14814 + ... + 19746.

Almost surely, 2^85242240 is an apocalyptic number.

85242240 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 85242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150980400).

85242240 is an abundant number, since it is smaller than the sum of its proper divisors (216718560).

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

85242240 is a wasteful number, since it uses less digits than its factorization.

85242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 85242240 is about 9232.6724191861. The cubic root of 85242240 is about 440.1002526381.

Adding to 85242240 its reverse (4224258), we get a palindrome (89466498).

The spelling of 85242240 in words is "eighty-five million, two hundred forty-two thousand, two hundred forty".