671410080 has 384 divisors, whose sum is σ = 2612736000. Its totient is φ = 159667200.

The previous prime is 671410079. The next prime is 671410099. The reversal of 671410080 is 80014176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3373821 + ... + 3374019.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^671410080 is an apocalyptic number.

671410080 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 671410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368000).

671410080 is an abundant number, since it is smaller than the sum of its proper divisors (1941325920).

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

671410080 is a wasteful number, since it uses less digits than its factorization.

671410080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

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

The square root of 671410080 is about 25911.5819663717. The cubic root of 671410080 is about 875.6474467970.

The spelling of 671410080 in words is "six hundred seventy-one million, four hundred ten thousand, eighty".