1029220992 has 160 divisors (see below), whose sum is σ = 3122402580. Its totient is φ = 336420864.

The previous prime is 1029220979. The next prime is 1029221023. The reversal of 1029220992 is 2990229201.

It can be written as a sum of positive squares in 2 ways, for example, as 989983296 + 39237696 = 31464^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 548568 + ... + 550440.

Almost surely, 2^1029220992 is an apocalyptic number.

1029220992 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 1029220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561201290).

1029220992 is an abundant number, since it is smaller than the sum of its proper divisors (2093181588).

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

1029220992 is an equidigital number, since it uses as much as digits as its factorization.

1029220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1029220992 is about 32081.4742803382. The cubic root of 1029220992 is about 1009.6469674244.

The spelling of 1029220992 in words is "one billion, twenty-nine million, two hundred twenty thousand, nine hundred ninety-two".