1023636768 has 144 divisors (see below), whose sum is σ = 3375731520. Its totient is φ = 265858560.

The previous prime is 1023636721. The next prime is 1023636769. The reversal of 1023636768 is 8676363201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1023636769) 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, 75018 + ... + 87606.

It is an arithmetic number, because the mean of its divisors is an integer number (23442580).

Almost surely, 2^1023636768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687865760).

1023636768 is an abundant number, since it is smaller than the sum of its proper divisors (2352094752).

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

1023636768 is a wasteful number, since it uses less digits than its factorization.

1023636768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1023636768 is about 31994.3239966091. The cubic root of 1023636768 is about 1007.8176477896.

Adding to 1023636768 its reverse (8676363201), we get a palindrome (9699999969).

The spelling of 1023636768 in words is "one billion, twenty-three million, six hundred thirty-six thousand, seven hundred sixty-eight".