1661171160 has 128 divisors (see below), whose sum is σ = 5446828800. Its totient is φ = 401948160.

The previous prime is 1661171153. The next prime is 1661171191. The reversal of 1661171160 is 611711661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051251 + ... + 1052829.

It is an arithmetic number, because the mean of its divisors is an integer number (42553350).

Almost surely, 2^1661171160 is an apocalyptic number.

1661171160 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 1661171160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723414400).

1661171160 is an abundant number, since it is smaller than the sum of its proper divisors (3785657640).

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

1661171160 is a wasteful number, since it uses less digits than its factorization.

1661171160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1661171160 is about 40757.4675366368. The cubic root of 1661171160 is about 1184.3265378722.

The spelling of 1661171160 in words is "one billion, six hundred sixty-one million, one hundred seventy-one thousand, one hundred sixty".