671963040 has 336 divisors, whose sum is σ = 2723511168. Its totient is φ = 153404928.

The previous prime is 671963011. The next prime is 671963041. The reversal of 671963040 is 40369176.

671963040 is a `hidden beast` number, since 6 + 7 + 19 + 630 + 4 + 0 = 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 junction number, because it is equal to n+sod(n) for n = 671962986 and 671963004.

It is not an unprimeable number, because it can be changed into a prime (671963041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816069 + ... + 816891.

It is an arithmetic number, because the mean of its divisors is an integer number (8105688).

Almost surely, 2^671963040 is an apocalyptic number.

671963040 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 671963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361755584).

671963040 is an abundant number, since it is smaller than the sum of its proper divisors (2051548128).

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

671963040 is an equidigital number, since it uses as much as digits as its factorization.

671963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 671963040 is about 25922.2499023522. The cubic root of 671963040 is about 875.8877694463.

The spelling of 671963040 in words is "six hundred seventy-one million, nine hundred sixty-three thousand, forty".