8214640 has 40 divisors (see below), whose sum is σ = 21828960. Its totient is φ = 2816256.

The previous prime is 8214623. The next prime is 8214643. The reversal of 8214640 is 464128.

8214640 is digitally balanced in base 8, 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 (40).

8214640 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 7894.

It is an arithmetic number, because the mean of its divisors is an integer number (545724).

Almost surely, 2^8214640 is an apocalyptic number.

8214640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214640 is an abundant number, since it is smaller than the sum of its proper divisors (13614320).

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

8214640 is a wasteful number, since it uses less digits than its factorization.

8214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14689 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8214640 is about 2866.1193275926. The cubic root of 8214640 is about 201.7729042806.

Adding to 8214640 its reverse (464128), we get a palindrome (8678768).

The spelling of 8214640 in words is "eight million, two hundred fourteen thousand, six hundred forty".