1023945768 has 96 divisors (see below), whose sum is σ = 2971987200. Its totient is φ = 317336064.

The previous prime is 1023945749. The next prime is 1023945773. The reversal of 1023945768 is 8675493201.

1023945768 is a `hidden beast` number, since 102 + 39 + 457 + 68 = 666.

1023945768 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1023945768 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96553 + ... + 106631.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023945768 = 2047891536, but 3⋅1023945768 = 3071837304 is not.

Almost surely, 2^1023945768 is an apocalyptic number.

1023945768 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 1023945768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

1023945768 is an abundant number, since it is smaller than the sum of its proper divisors (1948041432).

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

1023945768 is a wasteful number, since it uses less digits than its factorization.

1023945768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10184 counting only the distinct ones).

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

The square root of 1023945768 is about 31999.1526137803. The cubic root of 1023945768 is about 1007.9190458418.

The spelling of 1023945768 in words is "one billion, twenty-three million, nine hundred forty-five thousand, seven hundred sixty-eight".