671005440 has 432 divisors, whose sum is σ = 2720547648. Its totient is φ = 149520384.

The previous prime is 671005409. The next prime is 671005441. The reversal of 671005440 is 44500176.

It is a super-3 number, since 3×671005440³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4273842 + ... + 4273998.

It is an arithmetic number, because the mean of its divisors is an integer number (6297564).

Almost surely, 2^671005440 is an apocalyptic number.

671005440 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 671005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360273824).

671005440 is an abundant number, since it is smaller than the sum of its proper divisors (2049542208).

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

671005440 is a wasteful number, since it uses less digits than its factorization.

671005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 671005440 is about 25903.7726981998. The cubic root of 671005440 is about 875.4715020715.

The spelling of 671005440 in words is "six hundred seventy-one million, five thousand, four hundred forty".