8414640 has 240 divisors, whose sum is σ = 32497920. Its totient is φ = 1935360.

The previous prime is 8414621. The next prime is 8414641. The reversal of 8414640 is 464148.

8414640 is a `hidden beast` number, since 8 + 4 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8414641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271425 + ... + 271455.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^8414640 is an apocalyptic number.

8414640 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 8414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

8414640 is an abundant number, since it is smaller than the sum of its proper divisors (24083280).

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

8414640 is a wasteful number, since it uses less digits than its factorization.

8414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8414640 is about 2900.7998896856. The cubic root of 8414640 is about 203.3972983981.

Adding to 8414640 its reverse (464148), we get a palindrome (8878788).

The spelling of 8414640 in words is "eight million, four hundred fourteen thousand, six hundred forty".