1672415616 has 128 divisors (see below), whose sum is σ = 4626720000. Its totient is φ = 534603776.

The previous prime is 1672415599. The next prime is 1672415623. The reversal of 1672415616 is 6165142761.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1992925 + ... + 1993763.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2^1672415616 is an apocalyptic number.

1672415616 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 1672415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360000).

1672415616 is an abundant number, since it is smaller than the sum of its proper divisors (2954304384).

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

1672415616 is a wasteful number, since it uses less digits than its factorization.

1672415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1672415616 is about 40895.1783955028. The cubic root of 1672415616 is about 1186.9927636954.

The spelling of 1672415616 in words is "one billion, six hundred seventy-two million, four hundred fifteen thousand, six hundred sixteen".