1023068760 has 128 divisors (see below), whose sum is σ = 3514060800. Its totient is φ = 233418240.

The previous prime is 1023068743. The next prime is 1023068779. The reversal of 1023068760 is 678603201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831826 + ... + 833054.

It is an arithmetic number, because the mean of its divisors is an integer number (27453600).

Almost surely, 2^1023068760 is an apocalyptic number.

1023068760 is a gapful number since it is divisible by the number (10) 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 1023068760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757030400).

1023068760 is an abundant number, since it is smaller than the sum of its proper divisors (2490992040).

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

1023068760 is a wasteful number, since it uses less digits than its factorization.

1023068760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1023068760 is about 31985.4460653592. The cubic root of 1023068760 is about 1007.6312032683.

The spelling of 1023068760 in words is "one billion, twenty-three million, sixty-eight thousand, seven hundred sixty".