8582640 has 80 divisors (see below), whose sum is σ = 29033856. Its totient is φ = 2080000.

The previous prime is 8582617. The next prime is 8582641. The reversal of 8582640 is 462858.

8582640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8582641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015 + ... + 4265.

Almost surely, 2^8582640 is an apocalyptic number.

8582640 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 8582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516928).

8582640 is an abundant number, since it is smaller than the sum of its proper divisors (20451216).

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

8582640 is a wasteful number, since it uses less digits than its factorization.

8582640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8582640 is about 2929.6143090858. The cubic root of 8582640 is about 204.7420113736.

The spelling of 8582640 in words is "eight million, five hundred eighty-two thousand, six hundred forty".