1029996000 has 720 divisors, whose sum is σ = 4380968592. Its totient is φ = 235008000.

The previous prime is 1029995999. The next prime is 1029996007. The reversal of 1029996000 is 6999201.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029996007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 60587992 + ... + 60588008.

Almost surely, 2^1029996000 is an apocalyptic number.

1029996000 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 1029996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190484296).

1029996000 is an abundant number, since it is smaller than the sum of its proper divisors (3350972592).

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

1029996000 is a wasteful number, since it uses less digits than its factorization.

1029996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1029996000 is about 32093.5507540066. The cubic root of 1029996000 is about 1009.9003267322.

The spelling of 1029996000 in words is "one billion, twenty-nine million, nine hundred ninety-six thousand".