10001840 has 80 divisors (see below), whose sum is σ = 24879360. Its totient is φ = 3732480.

The previous prime is 10001837. The next prime is 10001861. The reversal of 10001840 is 4810001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91706 + ... + 91814.

It is an arithmetic number, because the mean of its divisors is an integer number (310992).

Almost surely, 2^10001840 is an apocalyptic number.

10001840 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 10001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439680).

10001840 is an abundant number, since it is smaller than the sum of its proper divisors (14877520).

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

10001840 is a wasteful number, since it uses less digits than its factorization.

10001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10001840 is about 3162.5685763316. The cubic root of 10001840 is about 215.4566820589.

Adding to 10001840 its reverse (4810001), we get a palindrome (14811841).

The spelling of 10001840 in words is "ten million, one thousand, eight hundred forty".