1071829920 has 288 divisors, whose sum is σ = 3964464000. Its totient is φ = 242694144.

The previous prime is 1071829897. The next prime is 1071829933. The reversal of 1071829920 is 299281701.

It is a super-2 number, since 2×1071829920² = 2297638754814412800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4680366 + ... + 4680594.

It is an arithmetic number, because the mean of its divisors is an integer number (13765500).

Almost surely, 2^1071829920 is an apocalyptic number.

1071829920 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 1071829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982232000).

1071829920 is an abundant number, since it is smaller than the sum of its proper divisors (2892634080).

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

1071829920 is a wasteful number, since it uses less digits than its factorization.

1071829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 1071829920 is about 32738.8136620740. The cubic root of 1071829920 is about 1023.3918609930.

The spelling of 1071829920 in words is "one billion, seventy-one million, eight hundred twenty-nine thousand, nine hundred twenty".