671684400 has 150 divisors (see below), whose sum is σ = 2410737692. Its totient is φ = 179107200.

The previous prime is 671684393. The next prime is 671684407. The reversal of 671684400 is 4486176.

It is an interprime number because it is at equal distance from previous prime (671684393) and next prime (671684407).

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 (36).

It is not an unprimeable number, because it can be changed into a prime (671684407) 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, 22035 + ... + 42765.

Almost surely, 2^671684400 is an apocalyptic number.

671684400 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 671684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205368846).

671684400 is an abundant number, since it is smaller than the sum of its proper divisors (1739053292).

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

671684400 is a wasteful number, since it uses less digits than its factorization.

671684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20761 (or 20741 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 671684400 is about 25916.8748115972. The cubic root of 671684400 is about 875.7666858473.

The spelling of 671684400 in words is "six hundred seventy-one million, six hundred eighty-four thousand, four hundred".