671040000 has 300 divisors, whose sum is σ = 2430445446. Its totient is φ = 178176000.

The previous prime is 671039951. The next prime is 671040001. The reversal of 671040000 is 40176.

It can be written as a sum of positive squares in 5 ways, for example, as 1679616 + 669360384 = 1296^2 + 25872^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (671040001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879884 + ... + 2880116.

Almost surely, 2^671040000 is an apocalyptic number.

671040000 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 671040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215222723).

671040000 is an abundant number, since it is smaller than the sum of its proper divisors (1759405446).

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

671040000 is an equidigital number, since it uses as much as digits as its factorization.

671040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 671040000 is about 25904.4397739075. The cubic root of 671040000 is about 875.4865321412.

Adding to 671040000 its reverse (40176), we get a palindrome (671080176).

The spelling of 671040000 in words is "six hundred seventy-one million, forty thousand".