1656919656 has 96 divisors (see below), whose sum is σ = 5215579200. Its totient is φ = 465373440.

The previous prime is 1656919631. The next prime is 1656919661. The reversal of 1656919656 is 6569196561.

1656919656 is a `hidden beast` number, since 1 + 6 + 569 + 19 + 65 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876 + ... + 57596.

It is an arithmetic number, because the mean of its divisors is an integer number (54328950).

Almost surely, 2^1656919656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656919656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607789600).

1656919656 is an abundant number, since it is smaller than the sum of its proper divisors (3558659544).

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

1656919656 is a wasteful number, since it uses less digits than its factorization.

1656919656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55799 (or 55792 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 1656919656 is about 40705.2779870129. The cubic root of 1656919656 is about 1183.3153094039.

The spelling of 1656919656 in words is "one billion, six hundred fifty-six million, nine hundred nineteen thousand, six hundred fifty-six".