10408840 has 64 divisors (see below), whose sum is σ = 25950960. Its totient is φ = 3732480.

The previous prime is 10408837. The next prime is 10408843. The reversal of 10408840 is 4880401.

10408840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10408837) and next prime (10408843).

It can be written as a sum of positive squares in 8 ways, for example, as 4268356 + 6140484 = 2066^2 + 2478^2 .

It is not an unprimeable number, because it can be changed into a prime (10408843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18970 + ... + 19510.

Almost surely, 2^10408840 is an apocalyptic number.

10408840 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 10408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975480).

10408840 is an abundant number, since it is smaller than the sum of its proper divisors (15542120).

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

10408840 is a wasteful number, since it uses less digits than its factorization.

10408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10408840 is about 3226.2733920113. The cubic root of 10408840 is about 218.3404046943.

The spelling of 10408840 in words is "ten million, four hundred eight thousand, eight hundred forty".