8662640 has 80 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 2868480.

The previous prime is 8662597. The next prime is 8662649. The reversal of 8662640 is 462668.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 8662597 and 8662606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8662649) 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, 17111 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (297600).

Almost surely, 2^8662640 is an apocalyptic number.

8662640 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 8662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904000).

8662640 is an abundant number, since it is smaller than the sum of its proper divisors (15145360).

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

8662640 is a wasteful number, since it uses less digits than its factorization.

8662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 8662640 is about 2943.2363139918. The cubic root of 8662640 is about 205.3761880905.

It can be divided in two parts, 86 and 62640, that added together give a palindrome (62726).

The spelling of 8662640 in words is "eight million, six hundred sixty-two thousand, six hundred forty".