671416000 has 224 divisors, whose sum is σ = 1797344640. Its totient is φ = 247808000.

The previous prime is 671415937. The next prime is 671416007. The reversal of 671416000 is 614176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (671416007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7543956 + ... + 7544044.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^671416000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

671416000 is an abundant number, since it is smaller than the sum of its proper divisors (1125928640).

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

671416000 is a wasteful number, since it uses less digits than its factorization.

671416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 671416000 is about 25911.6962007507. The cubic root of 671416000 is about 875.6500203943.

The spelling of 671416000 in words is "six hundred seventy-one million, four hundred sixteen thousand".