1023681792 has 288 divisors, whose sum is σ = 3447263232. Its totient is φ = 262766592.

The previous prime is 1023681787. The next prime is 1023681793. The reversal of 1023681792 is 2971863201.

It is a super-2 number, since 2×1023681792² = 2095848822544662528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023681792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023681793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101773 + ... + 2102259.

It is an arithmetic number, because the mean of its divisors is an integer number (11969664).

Almost surely, 2^1023681792 is an apocalyptic number.

1023681792 is a gapful number since it is divisible by the number (12) 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 1023681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723631616).

1023681792 is an abundant number, since it is smaller than the sum of its proper divisors (2423581440).

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

1023681792 is a wasteful number, since it uses less digits than its factorization.

1023681792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1023681792 is about 31995.0276136777. The cubic root of 1023681792 is about 1007.8324236417.

The spelling of 1023681792 in words is "one billion, twenty-three million, six hundred eighty-one thousand, seven hundred ninety-two".