10005840 has 120 divisors (see below), whose sum is σ = 36221640. Its totient is φ = 2460672.

The previous prime is 10005833. The next prime is 10005857. The reversal of 10005840 is 4850001.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 9884736 = 348^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8826 + ... + 9894.

It is an arithmetic number, because the mean of its divisors is an integer number (301847).

Almost surely, 2^10005840 is an apocalyptic number.

10005840 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 10005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110820).

10005840 is an abundant number, since it is smaller than the sum of its proper divisors (26215800).

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

10005840 is a wasteful number, since it uses less digits than its factorization.

10005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

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

The square root of 10005840 is about 3163.2009104703. The cubic root of 10005840 is about 215.4854005035.

Adding to 10005840 its reverse (4850001), we get a palindrome (14855841).

The spelling of 10005840 in words is "ten million, five thousand, eight hundred forty".