1020864768 has 288 divisors, whose sum is σ = 3455112192. Its totient is φ = 259891200.

The previous prime is 1020864749. The next prime is 1020864811. The reversal of 1020864768 is 8674680201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3607155 + ... + 3607437.

Almost surely, 2^1020864768 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 1020864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727556096).

1020864768 is an abundant number, since it is smaller than the sum of its proper divisors (2434247424).

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

1020864768 is a wasteful number, since it uses less digits than its factorization.

1020864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1020864768 is about 31950.9744452341. The cubic root of 1020864768 is about 1006.9071047293.

The spelling of 1020864768 in words is "one billion, twenty million, eight hundred sixty-four thousand, seven hundred sixty-eight".