1671589920 has 768 divisors, whose sum is σ = 7315660800. Its totient is φ = 316108800.

The previous prime is 1671589919. The next prime is 1671589963. The reversal of 1671589920 is 299851761.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1671589920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23543485 + ... + 23543555.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^1671589920 is an apocalyptic number.

1671589920 is a gapful number since it is divisible by the number (10) 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 1671589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

1671589920 is an abundant number, since it is smaller than the sum of its proper divisors (5644070880).

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

1671589920 is a wasteful number, since it uses less digits than its factorization.

1671589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1671589920 is about 40885.0818759117. The cubic root of 1671589920 is about 1186.7973863208.

The spelling of 1671589920 in words is "one billion, six hundred seventy-one million, five hundred eighty-nine thousand, nine hundred twenty".