10008414 has 64 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 3010176.

The previous prime is 10008409. The next prime is 10008419. The reversal of 10008414 is 41480001.

10008414 = T₁₂₇ + T₁₂₈ + ... + T₃₉₅.

It is an interprime number because it is at equal distance from previous prime (10008409) and next prime (10008419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37072 + ... + 37340.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 2^10008414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

10008414 is an abundant number, since it is smaller than the sum of its proper divisors (14485986).

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

10008414 is a wasteful number, since it uses less digits than its factorization.

10008414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10008414 is about 3163.6077506543. The cubic root of 10008414 is about 215.5038767756.

Adding to 10008414 its reverse (41480001), we get a palindrome (51488415).

The spelling of 10008414 in words is "ten million, eight thousand, four hundred fourteen".