1671566880 has 96 divisors (see below), whose sum is σ = 5329001664. Its totient is φ = 440370176.

The previous prime is 1671566861. The next prime is 1671566887. The reversal of 1671566880 is 886651761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1671566887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18862 + ... + 60818.

It is an arithmetic number, because the mean of its divisors is an integer number (55510434).

Almost surely, 2^1671566880 is an apocalyptic number.

1671566880 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 1671566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664500832).

1671566880 is an abundant number, since it is smaller than the sum of its proper divisors (3657434784).

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

1671566880 is a wasteful number, since it uses less digits than its factorization.

1671566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42058 (or 42050 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1671566880 is about 40884.8001095762. The cubic root of 1671566880 is about 1186.7919336403.

The spelling of 1671566880 in words is "one billion, six hundred seventy-one million, five hundred sixty-six thousand, eight hundred eighty".