671130000 has 150 divisors (see below), whose sum is σ = 2347353294. Its totient is φ = 178944000.

The previous prime is 671129999. The next prime is 671130007. The reversal of 671130000 is 31176.

It can be written as a sum of positive squares in 5 ways, for example, as 330948864 + 340181136 = 18192^2 + 18444^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (671130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86272 + ... + 93728.

Almost surely, 2^671130000 is an apocalyptic number.

671130000 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 671130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173676647).

671130000 is an abundant number, since it is smaller than the sum of its proper divisors (1676223294).

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

671130000 is a wasteful number, since it uses less digits than its factorization.

671130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 671130000 is about 25906.1768696193. The cubic root of 671130000 is about 875.5256705262.

Adding to 671130000 its reverse (31176), we get a palindrome (671161176).

The spelling of 671130000 in words is "six hundred seventy-one million, one hundred thirty thousand".