1672059648 has 288 divisors, whose sum is σ = 5358223360. Its totient is φ = 452874240.

The previous prime is 1672059619. The next prime is 1672059659. The reversal of 1672059648 is 8469502761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1672059597 and 1672059606.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13165761 + ... + 13165887.

Almost surely, 2^1672059648 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 1672059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679111680).

1672059648 is an abundant number, since it is smaller than the sum of its proper divisors (3686163712).

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

1672059648 is a wasteful number, since it uses less digits than its factorization.

1672059648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1672059648 is about 40890.8259637782. The cubic root of 1672059648 is about 1186.9085419231.

The spelling of 1672059648 in words is "one billion, six hundred seventy-two million, fifty-nine thousand, six hundred forty-eight".