1023765984 has 72 divisors (see below), whose sum is σ = 2914427880. Its totient is φ = 340892928.

The previous prime is 1023765983. The next prime is 1023766031. The reversal of 1023765984 is 4895673201.

1023765984 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

1023765984 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023765983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514239 + ... + 516225.

It is an arithmetic number, because the mean of its divisors is an integer number (40478165).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023765984 = 2047531968, but 3⋅1023765984 = 3071297952 is not.

Almost surely, 2^1023765984 is an apocalyptic number.

It is an amenable number.

1023765984 is an abundant number, since it is smaller than the sum of its proper divisors (1890661896).

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

1023765984 is a wasteful number, since it uses less digits than its factorization.

1023765984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1023765984 is about 31996.3432910700. The cubic root of 1023765984 is about 1007.8600523775.

The spelling of 1023765984 in words is "one billion, twenty-three million, seven hundred sixty-five thousand, nine hundred eighty-four".