671582016 has 336 divisors, whose sum is σ = 2366873600. Its totient is φ = 184757760.

The previous prime is 671582011. The next prime is 671582017. The reversal of 671582016 is 610285176.

671582016 is a `hidden beast` number, since 6 + 71 + 582 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671582011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374685 + ... + 3374883.

Almost surely, 2^671582016 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 671582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183436800).

671582016 is an abundant number, since it is smaller than the sum of its proper divisors (1695291584).

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

671582016 is a wasteful number, since it uses less digits than its factorization.

671582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 671582016 is about 25914.8994981651. The cubic root of 671582016 is about 875.7221862517.

The spelling of 671582016 in words is "six hundred seventy-one million, five hundred eighty-two thousand, sixteen".