1671864320 has 280 divisors, whose sum is σ = 4955988564. Its totient is φ = 539492352.

The previous prime is 1671864263. The next prime is 1671864331. The reversal of 1671864320 is 234681761.

It can be written as a sum of positive squares in 2 ways, for example, as 1662029824 + 9834496 = 40768^2 + 3136^2 .

It is a tau number, because it is divible by the number of its divisors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98344952 + ... + 98344968.

Almost surely, 2^1671864320 is an apocalyptic number.

1671864320 is a gapful number since it is divisible by the number (10) 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 1671864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477994282).

1671864320 is an abundant number, since it is smaller than the sum of its proper divisors (3284124244).

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

1671864320 is an frugal number, since it uses more digits than its factorization.

1671864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1671864320 is about 40888.4374854310. The cubic root of 1671864320 is about 1186.8623223798.

The spelling of 1671864320 in words is "one billion, six hundred seventy-one million, eight hundred sixty-four thousand, three hundred twenty".