1671568656 has 80 divisors (see below), whose sum is σ = 4584081600. Its totient is φ = 523055104.

The previous prime is 1671568651. The next prime is 1671568667. The reversal of 1671568656 is 6568651761.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1671568599 and 1671568608.

It is not an unprimeable number, because it can be changed into a prime (1671568651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339460 + ... + 344348.

It is an arithmetic number, because the mean of its divisors is an integer number (57301020).

Almost surely, 2^1671568656 is an apocalyptic number.

1671568656 is a gapful number since it is divisible by the number (16) 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 1671568656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292040800).

1671568656 is an abundant number, since it is smaller than the sum of its proper divisors (2912512944).

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

1671568656 is a wasteful number, since it uses less digits than its factorization.

1671568656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5330 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 1671568656 is about 40884.8218291336. The cubic root of 1671568656 is about 1186.7923539528.

The spelling of 1671568656 in words is "one billion, six hundred seventy-one million, five hundred sixty-eight thousand, six hundred fifty-six".