85317440 has 56 divisors (see below), whose sum is σ = 218800680. Its totient is φ = 31500288.

The previous prime is 85317437. The next prime is 85317451. The reversal of 85317440 is 4471358.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 85229824 = 296^2 + 9232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 85317397 and 85317406.

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, 6095 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (3907155).

Almost surely, 2^85317440 is an apocalyptic number.

85317440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85317440 is an abundant number, since it is smaller than the sum of its proper divisors (133483240).

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

85317440 is a wasteful number, since it uses less digits than its factorization.

85317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20539 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 85317440 is about 9236.7440150737. The cubic root of 85317440 is about 440.2296322022.

Adding to 85317440 its reverse (4471358), we get a palindrome (89788798).

The spelling of 85317440 in words is "eighty-five million, three hundred seventeen thousand, four hundred forty".