1005016672 has 24 divisors (see below), whose sum is σ = 2158502472. Its totient is φ = 456825600.

The previous prime is 1005016657. The next prime is 1005016697. The reversal of 1005016672 is 2766105001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005016672.

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 3 ways as a sum of consecutive naturals, for example, 1427229 + ... + 1427932.

It is an arithmetic number, because the mean of its divisors is an integer number (89937603).

Almost surely, 2^1005016672 is an apocalyptic number.

It is an amenable number.

1005016672 is an abundant number, since it is smaller than the sum of its proper divisors (1153485800).

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

1005016672 is a wasteful number, since it uses less digits than its factorization.

1005016672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855182 (or 2855174 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1005016672 is about 31701.9979181124. The cubic root of 1005016672 is about 1001.6694354344.

The spelling of 1005016672 in words is "one billion, five million, sixteen thousand, six hundred seventy-two".