1671220800 has 252 divisors, whose sum is σ = 6080302800. Its totient is φ = 435133440.

The previous prime is 1671220781. The next prime is 1671220801. The reversal of 1671220800 is 80221761.

It is not an unprimeable number, because it can be changed into a prime (1671220801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 617851 + ... + 620549.

Almost surely, 2^1671220800 is an apocalyptic number.

1671220800 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 1671220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040151400).

1671220800 is an abundant number, since it is smaller than the sum of its proper divisors (4409082000).

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

1671220800 is a wasteful number, since it uses less digits than its factorization.

1671220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1671220800 is about 40880.5675107379. The cubic root of 1671220800 is about 1186.7100238055.

The spelling of 1671220800 in words is "one billion, six hundred seventy-one million, two hundred twenty thousand, eight hundred".