1671888960 has 336 divisors, whose sum is σ = 6634008576. Its totient is φ = 378556416.

The previous prime is 1671888949. The next prime is 1671888971. The reversal of 1671888960 is 698881761.

It is an interprime number because it is at equal distance from previous prime (1671888949) and next prime (1671888971).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1671888897 and 1671888906.

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, 2559994 + ... + 2560646.

Almost surely, 2^1671888960 is an apocalyptic number.

1671888960 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 1671888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317004288).

1671888960 is an abundant number, since it is smaller than the sum of its proper divisors (4962119616).

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

1671888960 is a wasteful number, since it uses less digits than its factorization.

1671888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1671888960 is about 40888.7387919950. The cubic root of 1671888960 is about 1186.8681530252.

The spelling of 1671888960 in words is "one billion, six hundred seventy-one million, eight hundred eighty-eight thousand, nine hundred sixty".