10408680 has 96 divisors (see below), whose sum is σ = 35029800. Its totient is φ = 2677248.

The previous prime is 10408679. The next prime is 10408733. The reversal of 10408680 is 8680401.

It can be written as a sum of positive squares in 4 ways, for example, as 9771876 + 636804 = 3126^2 + 798^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9942 + ... + 10938.

Almost surely, 2^10408680 is an apocalyptic number.

10408680 is a gapful number since it is divisible by the number (10) 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 10408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514900).

10408680 is an abundant number, since it is smaller than the sum of its proper divisors (24621120).

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

10408680 is a wasteful number, since it uses less digits than its factorization.

10408680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10408680 is about 3226.2485955053. The cubic root of 10408680 is about 218.3392859451.

The spelling of 10408680 in words is "ten million, four hundred eight thousand, six hundred eighty".