1671946560 has 336 divisors, whose sum is σ = 6053279232. Its totient is φ = 423014400.

The previous prime is 1671946559. The next prime is 1671946571. The reversal of 1671946560 is 656491761.

1671946560 is a `hidden beast` number, since 16 + 71 + 9 + 4 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5445927 + ... + 5446233.

It is an arithmetic number, because the mean of its divisors is an integer number (18015712).

Almost surely, 2^1671946560 is an apocalyptic number.

1671946560 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 1671946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026639616).

1671946560 is an abundant number, since it is smaller than the sum of its proper divisors (4381332672).

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

1671946560 is a wasteful number, since it uses less digits than its factorization.

1671946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1671946560 is about 40889.4431363402. The cubic root of 1671946560 is about 1186.8817828818.

The spelling of 1671946560 in words is "one billion, six hundred seventy-one million, nine hundred forty-six thousand, five hundred sixty".