1005038976 has 128 divisors (see below), whose sum is σ = 2749593600. Its totient is φ = 325111808.

The previous prime is 1005038917. The next prime is 1005038977. The reversal of 1005038976 is 6798305001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005038977) 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 15 ways as a sum of consecutive naturals, for example, 4205065 + ... + 4205303.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^1005038976 is an apocalyptic number.

1005038976 is a gapful number since it is divisible by the number (16) 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 1005038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

1005038976 is an abundant number, since it is smaller than the sum of its proper divisors (1744554624).

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

1005038976 is a wasteful number, since it uses less digits than its factorization.

1005038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1005038976 is about 31702.3496920970. The cubic root of 1005038976 is about 1001.6768452849.

The spelling of 1005038976 in words is "one billion, five million, thirty-eight thousand, nine hundred seventy-six".