8505040 has 40 divisors (see below), whose sum is σ = 20264328. Its totient is φ = 3317760.

The previous prime is 8505037. The next prime is 8505053. The reversal of 8505040 is 405058.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 8433216 = 268^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

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, 1984 + ... + 4576.

Almost surely, 2^8505040 is an apocalyptic number.

8505040 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 8505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132164).

8505040 is an abundant number, since it is smaller than the sum of its proper divisors (11759288).

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

8505040 is a wasteful number, since it uses less digits than its factorization.

8505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 8505040 is about 2916.3401722021. The cubic root of 8505040 is about 204.1230834824.

The spelling of 8505040 in words is "eight million, five hundred five thousand, forty".