10001824 has 24 divisors (see below), whose sum is σ = 22504608. Its totient is φ = 4286400.

The previous prime is 10001821. The next prime is 10001833. The reversal of 10001824 is 42810001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10001798 and 10001807.

It is not an unprimeable number, because it can be changed into a prime (10001821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22102 + ... + 22549.

It is an arithmetic number, because the mean of its divisors is an integer number (937692).

Almost surely, 2^10001824 is an apocalyptic number.

10001824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10001824 is an abundant number, since it is smaller than the sum of its proper divisors (12502784).

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

10001824 is an equidigital number, since it uses as much as digits as its factorization.

10001824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44668 (or 44660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10001824 is about 3162.5660467412. The cubic root of 10001824 is about 215.4565671698.

Adding to 10001824 its reverse (42810001), we get a palindrome (52811825).

The spelling of 10001824 in words is "ten million, one thousand, eight hundred twenty-four".