1611605688 has 384 divisors, whose sum is σ = 5515776000. Its totient is φ = 386830080.

The previous prime is 1611605683. The next prime is 1611605689. The reversal of 1611605688 is 8865061161.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611605683) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19416895 + ... + 19416977.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^1611605688 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 1611605688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1611605688 is an abundant number, since it is smaller than the sum of its proper divisors (3904170312).

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

1611605688 is a wasteful number, since it uses less digits than its factorization.

1611605688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 1611605688 is about 40144.8089794932. The cubic root of 1611605688 is about 1172.4282216400.

The spelling of 1611605688 in words is "one billion, six hundred eleven million, six hundred five thousand, six hundred eighty-eight".