85205440 has 56 divisors (see below), whose sum is σ = 206380080. Its totient is φ = 33497088.

The previous prime is 85205429. The next prime is 85205507. The reversal of 85205440 is 4450258.

It is a junction number, because it is equal to n+sod(n) for n = 85205399 and 85205408.

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, 16624 + ... + 21136.

Almost surely, 2^85205440 is an apocalyptic number.

85205440 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 85205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103190040).

85205440 is an abundant number, since it is smaller than the sum of its proper divisors (121174640).

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

85205440 is a wasteful number, since it uses less digits than its factorization.

85205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 85205440 is about 9230.6792816130. The cubic root of 85205440 is about 440.0369115040.

Adding to 85205440 its reverse (4450258), we get a palindrome (89655698).

The spelling of 85205440 in words is "eighty-five million, two hundred five thousand, four hundred forty".