1000825344 has 120 divisors (see below), whose sum is σ = 2956208112. Its totient is φ = 325785600.

The previous prime is 1000825313. The next prime is 1000825349. The reversal of 1000825344 is 4435280001.

It is not an unprimeable number, because it can be changed into a prime (1000825349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 195619 + ... + 200669.

Almost surely, 2^1000825344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478104056).

1000825344 is an abundant number, since it is smaller than the sum of its proper divisors (1955382768).

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

1000825344 is an equidigital number, since it uses as much as digits as its factorization.

1000825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1000825344 is about 31635.8237446095. The cubic root of 1000825344 is about 1000.2750390133.

The spelling of 1000825344 in words is "one billion, eight hundred twenty-five thousand, three hundred forty-four".