10414008 has 96 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 3149280.

The previous prime is 10414007. The next prime is 10414039. The reversal of 10414008 is 80041401.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21141 + ... + 21627.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 2^10414008 is an apocalyptic number.

10414008 is a gapful number since it is divisible by the number (18) 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 10414008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986880).

10414008 is an abundant number, since it is smaller than the sum of its proper divisors (21559752).

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

10414008 is a wasteful number, since it uses less digits than its factorization.

10414008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

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

The square root of 10414008 is about 3227.0742166861. The cubic root of 10414008 is about 218.3765341290.

Adding to 10414008 its reverse (80041401), we get a palindrome (90455409).

The spelling of 10414008 in words is "ten million, four hundred fourteen thousand, eight".