1653680556 has 96 divisors (see below), whose sum is σ = 4756550400. Its totient is φ = 492600960.

The previous prime is 1653680527. The next prime is 1653680563. The reversal of 1653680556 is 6550863561.

1653680556 is a `hidden beast` number, since 1 + 65 + 36 + 8 + 0 + 556 = 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 31 ways as a sum of consecutive naturals, for example, 58296 + ... + 81888.

It is an arithmetic number, because the mean of its divisors is an integer number (49547400).

Almost surely, 2^1653680556 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 1653680556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378275200).

1653680556 is an abundant number, since it is smaller than the sum of its proper divisors (3102869844).

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

1653680556 is a wasteful number, since it uses less digits than its factorization.

1653680556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676 (or 23668 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 1653680556 is about 40665.4712993714. The cubic root of 1653680556 is about 1182.5437216081.

The spelling of 1653680556 in words is "one billion, six hundred fifty-three million, six hundred eighty thousand, five hundred fifty-six".