8505840 has 160 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 1889280.

The previous prime is 8505823. The next prime is 8505841. The reversal of 8505840 is 485058.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8505798 and 8505807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102439 + ... + 102521.

Almost surely, 2^8505840 is an apocalyptic number.

8505840 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 8505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

8505840 is an abundant number, since it is smaller than the sum of its proper divisors (22492176).

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

8505840 is a wasteful number, since it uses less digits than its factorization.

8505840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8505840 is about 2916.4773271877. The cubic root of 8505840 is about 204.1294833484.

The spelling of 8505840 in words is "eight million, five hundred five thousand, eight hundred forty".