1004057672 has 36 divisors (see below), whose sum is σ = 2002903305. Its totient is φ = 471780736.

The previous prime is 1004057629. The next prime is 1004057687. The reversal of 1004057672 is 2767504001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1004057672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 918938596 + 85119076 = 30314^2 + 9226^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22406.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1523279 + ... + 1523937.

Almost surely, 2^1004057672 is an apocalyptic number.

It is an amenable number.

1004057672 is a deficient number, since it is larger than the sum of its proper divisors (998845633).

1004057672 is an frugal number, since it uses more digits than its factorization.

1004057672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 1004057672 is about 31686.8690785316. The cubic root of 1004057672 is about 1001.3507320348.

Multiplying 1004057672 by its sum of digits (32), we get a square (32129845504 = 179248²).

The spelling of 1004057672 in words is "one billion, four million, fifty-seven thousand, six hundred seventy-two".