1029786912 has 384 divisors, whose sum is σ = 3913297920. Its totient is φ = 255467520.

The previous prime is 1029786907. The next prime is 1029786943. The reversal of 1029786912 is 2196879201.

It is a super-2 number, since 2×1029786912² = 2120922168252991488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529808 + ... + 1530480.

It is an arithmetic number, because the mean of its divisors is an integer number (10190880).

Almost surely, 2^1029786912 is an apocalyptic number.

1029786912 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 1029786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956648960).

1029786912 is an abundant number, since it is smaller than the sum of its proper divisors (2883511008).

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

1029786912 is a wasteful number, since it uses less digits than its factorization.

1029786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1029786912 is about 32090.2931117807. The cubic root of 1029786912 is about 1009.8319859072.

The spelling of 1029786912 in words is "one billion, twenty-nine million, seven hundred eighty-six thousand, nine hundred twelve".