1000021824 has 42 divisors (see below), whose sum is σ = 2866383650. Its totient is φ = 333340416.

The previous prime is 1000021823. The next prime is 1000021843. The reversal of 1000021824 is 4281200001.

It can be written as a sum of positive squares in only one way, i.e., 980942400 + 19079424 = 31320^2 + 4368^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1000021797 and 1000021806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000021823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 867499 + ... + 868650.

Almost surely, 2^1000021824 is an apocalyptic number.

It is an amenable number.

1000021824 is an abundant number, since it is smaller than the sum of its proper divisors (1866361826).

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

1000021824 is a wasteful number, since it uses less digits than its factorization.

1000021824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736167 (or 1736154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1000021824 is about 31623.1216675394. The cubic root of 1000021824 is about 1000.0072746137.

Adding to 1000021824 its reverse (4281200001), we get a palindrome (5281221825).

The spelling of 1000021824 in words is "one billion, twenty-one thousand, eight hundred twenty-four".