85201440 has 96 divisors (see below), whose sum is σ = 270527040. Its totient is φ = 22539264.

The previous prime is 85201397. The next prime is 85201463. The reversal of 85201440 is 4410258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85201440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66082 + ... + 67358.

It is an arithmetic number, because the mean of its divisors is an integer number (2817990).

Almost surely, 2^85201440 is an apocalyptic number.

85201440 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 85201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135263520).

85201440 is an abundant number, since it is smaller than the sum of its proper divisors (185325600).

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

85201440 is a wasteful number, since it uses less digits than its factorization.

85201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 85201440 is about 9230.4626102921. The cubic root of 85201440 is about 440.0300254992.

Adding to 85201440 its reverse (4410258), we get a palindrome (89611698).

The spelling of 85201440 in words is "eighty-five million, two hundred one thousand, four hundred forty".