10405008 has 60 divisors (see below), whose sum is σ = 30660240. Its totient is φ = 3284928.

The previous prime is 10404991. The next prime is 10405019. The reversal of 10405008 is 80050401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (511004).

Almost surely, 2^10405008 is an apocalyptic number.

10405008 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 10405008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330120).

10405008 is an abundant number, since it is smaller than the sum of its proper divisors (20255232).

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

10405008 is a wasteful number, since it uses less digits than its factorization.

10405008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10405008 is about 3225.6794633069. The cubic root of 10405008 is about 218.3136074999.

Adding to 10405008 its reverse (80050401), we get a palindrome (90455409).

The spelling of 10405008 in words is "ten million, four hundred five thousand, eight".