1671200000 has 108 divisors (see below), whose sum is σ = 4171568940. Its totient is φ = 668160000.

The previous prime is 1671199997. The next prime is 1671200021. The reversal of 1671200000 is 21761.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1063281664 + 607918336 = 32608^2 + 24656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798956 + ... + 801044.

Almost surely, 2^1671200000 is an apocalyptic number.

1671200000 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 1671200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085784470).

1671200000 is an abundant number, since it is smaller than the sum of its proper divisors (2500368940).

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

1671200000 is an frugal number, since it uses more digits than its factorization.

1671200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1671200000 is about 40880.3131103469. The cubic root of 1671200000 is about 1186.7051005240.

Adding to 1671200000 its reverse (21761), we get a palindrome (1671221761).

The spelling of 1671200000 in words is "one billion, six hundred seventy-one million, two hundred thousand".