1023720768 has 140 divisors (see below), whose sum is σ = 3468270432. Its totient is φ = 292481280.

The previous prime is 1023720743. The next prime is 1023720769. The reversal of 1023720768 is 8670273201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023720769) 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 19 ways as a sum of consecutive naturals, for example, 22183 + ... + 50393.

Almost surely, 2^1023720768 is an apocalyptic number.

1023720768 is a gapful number since it is divisible by the number (18) 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 1023720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734135216).

1023720768 is an abundant number, since it is smaller than the sum of its proper divisors (2444549664).

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

1023720768 is an equidigital number, since it uses as much as digits as its factorization.

1023720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28242 (or 28223 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1023720768 is about 31995.6367025255. The cubic root of 1023720768 is about 1007.8452143280.

Adding to 1023720768 its reverse (8670273201), we get a palindrome (9693993969).

The spelling of 1023720768 in words is "one billion, twenty-three million, seven hundred twenty thousand, seven hundred sixty-eight".