10011840 has 56 divisors (see below), whose sum is σ = 31790640. Its totient is φ = 2669568.

The previous prime is 10011839. The next prime is 10011847. The reversal of 10011840 is 4811001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10011847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4255 + ... + 6174.

It is an arithmetic number, because the mean of its divisors is an integer number (567690).

Almost surely, 2^10011840 is an apocalyptic number.

10011840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011840 is an abundant number, since it is smaller than the sum of its proper divisors (21778800).

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

10011840 is a wasteful number, since it uses less digits than its factorization.

10011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10011840 is about 3164.1491747388. The cubic root of 10011840 is about 215.5284638232.

Adding to 10011840 its reverse (4811001), we get a palindrome (14822841).

The spelling of 10011840 in words is "ten million, eleven thousand, eight hundred forty".