1024013200 has 120 divisors (see below), whose sum is σ = 2908831680. Its totient is φ = 338956800.

The previous prime is 1024013167. The next prime is 1024013201. The reversal of 1024013200 is 23104201.

It is not an unprimeable number, because it can be changed into a prime (1024013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74895 + ... + 87505.

It is an arithmetic number, because the mean of its divisors is an integer number (24240264).

Almost surely, 2^1024013200 is an apocalyptic number.

1024013200 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 1024013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454415840).

1024013200 is an abundant number, since it is smaller than the sum of its proper divisors (1884818480).

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

1024013200 is a wasteful number, since it uses less digits than its factorization.

1024013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1024013200 is about 32000.2062493353. The cubic root of 1024013200 is about 1007.9411708759.

Adding to 1024013200 its reverse (23104201), we get a palindrome (1047117401).

The spelling of 1024013200 in words is "one billion, twenty-four million, thirteen thousand, two hundred".