1671864948 has 180 divisors, whose sum is σ = 4984832160. Its totient is φ = 487041984.

The previous prime is 1671864941. The next prime is 1671864977. The reversal of 1671864948 is 8494681761.

1671864948 is a `hidden beast` number, since 1 + 6 + 71 + 86 + 494 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1671864894 and 1671864903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671864941) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1039561 + ... + 1041167.

It is an arithmetic number, because the mean of its divisors is an integer number (27693512).

Almost surely, 2^1671864948 is an apocalyptic number.

1671864948 is a gapful number since it is divisible by the number (18) 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 1671864948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492416080).

1671864948 is an abundant number, since it is smaller than the sum of its proper divisors (3312967212).

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

1671864948 is a wasteful number, since it uses less digits than its factorization.

1671864948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1644 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1671864948 is about 40888.4451648629. The cubic root of 1671864948 is about 1186.8624709862.

The spelling of 1671864948 in words is "one billion, six hundred seventy-one million, eight hundred sixty-four thousand, nine hundred forty-eight".