671238144 has 192 divisors, whose sum is σ = 2031120000. Its totient is φ = 218972160.

The previous prime is 671238143. The next prime is 671238173. The reversal of 671238144 is 441832176.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 671238099 and 671238108.

It is not an unprimeable number, because it can be changed into a prime (671238143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3372957 + ... + 3373155.

It is an arithmetic number, because the mean of its divisors is an integer number (10578750).

Almost surely, 2^671238144 is an apocalyptic number.

671238144 is a gapful number since it is divisible by the number (64) 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 671238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560000).

671238144 is an abundant number, since it is smaller than the sum of its proper divisors (1359881856).

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

671238144 is a wasteful number, since it uses less digits than its factorization.

671238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 265 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 671238144 is about 25908.2640097711. The cubic root of 671238144 is about 875.5726945816.

The spelling of 671238144 in words is "six hundred seventy-one million, two hundred thirty-eight thousand, one hundred forty-four".