671977152 has 336 divisors, whose sum is σ = 2440838400. Its totient is φ = 171694080.

The previous prime is 671977121. The next prime is 671977169. The reversal of 671977152 is 251779176.

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

It is a super-2 number, since 2×671977152² = 903106585620062208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 671977098 and 671977107.

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 47 ways as a sum of consecutive naturals, for example, 4834299 + ... + 4834437.

It is an arithmetic number, because the mean of its divisors is an integer number (7264400).

Almost surely, 2^671977152 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 671977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220419200).

671977152 is an abundant number, since it is smaller than the sum of its proper divisors (1768861248).

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

671977152 is a wasteful number, since it uses less digits than its factorization.

671977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 671977152 is about 25922.5220995180. The cubic root of 671977152 is about 875.8939009550.

The spelling of 671977152 in words is "six hundred seventy-one million, nine hundred seventy-seven thousand, one hundred fifty-two".