85427440 has 80 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 28903680.

The previous prime is 85427437. The next prime is 85427453. The reversal of 85427440 is 4472458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 85427396 and 85427405.

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, 43275 + ... + 45205.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^85427440 is an apocalyptic number.

85427440 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 85427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

85427440 is an abundant number, since it is smaller than the sum of its proper divisors (144557840).

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

85427440 is a wasteful number, since it uses less digits than its factorization.

85427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 85427440 is about 9242.6965762163. The cubic root of 85427440 is about 440.4187473578.

Adding to 85427440 its reverse (4472458), we get a palindrome (89899898).

The spelling of 85427440 in words is "eighty-five million, four hundred twenty-seven thousand, four hundred forty".