1021788768 has 480 divisors, whose sum is σ = 3794660352. Its totient is φ = 237081600.

The previous prime is 1021788767. The next prime is 1021788841. The reversal of 1021788768 is 8678871201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021788767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32960913 + ... + 32960943.

Almost surely, 2^1021788768 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 1021788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897330176).

1021788768 is an abundant number, since it is smaller than the sum of its proper divisors (2772871584).

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

1021788768 is a wasteful number, since it uses less digits than its factorization.

1021788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The square root of 1021788768 is about 31965.4308276926. The cubic root of 1021788768 is about 1007.2108020240.

The spelling of 1021788768 in words is "one billion, twenty-one million, seven hundred eighty-eight thousand, seven hundred sixty-eight".