671186880 has 504 divisors, whose sum is σ = 2871472032. Its totient is φ = 140894208.

The previous prime is 671186869. The next prime is 671186881. The reversal of 671186880 is 88681176.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671186881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406942 + ... + 3407138.

Almost surely, 2^671186880 is an apocalyptic number.

671186880 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 671186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435736016).

671186880 is an abundant number, since it is smaller than the sum of its proper divisors (2200285152).

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

671186880 is a wasteful number, since it uses less digits than its factorization.

671186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 671186880 is about 25907.2746540426. The cubic root of 671186880 is about 875.5504041810.

The spelling of 671186880 in words is "six hundred seventy-one million, one hundred eighty-six thousand, eight hundred eighty".