8414340 has 144 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 1900800.

The previous prime is 8414311. The next prime is 8414347. The reversal of 8414340 is 434148.

8414340 = T₁₃₁ + T₁₃₂ + ... + T₃₇₄.

It is a super-2 number, since 2×8414340² = 141602235271200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8414340.

It is not an unprimeable number, because it can be changed into a prime (8414347) 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, 137910 + ... + 137970.

Almost surely, 2^8414340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).

8414340 is an abundant number, since it is smaller than the sum of its proper divisors (19292220).

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

8414340 is a wasteful number, since it uses less digits than its factorization.

8414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8414340 is about 2900.7481793496. The cubic root of 8414340 is about 203.3948811858.

Adding to 8414340 its reverse (434148), we get a palindrome (8848488).

The spelling of 8414340 in words is "eight million, four hundred fourteen thousand, three hundred forty".