671311200 has 288 divisors, whose sum is σ = 2579834880. Its totient is φ = 148377600.

The previous prime is 671311171. The next prime is 671311213. The reversal of 671311200 is 2113176.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520156 + ... + 521444.

It is an arithmetic number, because the mean of its divisors is an integer number (8957760).

Almost surely, 2^671311200 is an apocalyptic number.

671311200 is a gapful number since it is divisible by the number (60) 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 671311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289917440).

671311200 is an abundant number, since it is smaller than the sum of its proper divisors (1908523680).

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

671311200 is a wasteful number, since it uses less digits than its factorization.

671311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 671311200 is about 25909.6738690397. The cubic root of 671311200 is about 875.6044585285.

Adding to 671311200 its reverse (2113176), we get a palindrome (673424376).

The spelling of 671311200 in words is "six hundred seventy-one million, three hundred eleven thousand, two hundred".