1661242176 has 448 divisors, whose sum is σ = 5806805760. Its totient is φ = 460062720.

The previous prime is 1661242157. The next prime is 1661242189. The reversal of 1661242176 is 6712421661.

1661242176 is a `hidden beast` number, since 16 + 612 + 4 + 21 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1661242176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17126160 + ... + 17126256.

It is an arithmetic number, because the mean of its divisors is an integer number (12961620).

Almost surely, 2^1661242176 is an apocalyptic number.

1661242176 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 1661242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903402880).

1661242176 is an abundant number, since it is smaller than the sum of its proper divisors (4145563584).

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

1661242176 is a wasteful number, since it uses less digits than its factorization.

1661242176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1661242176 is about 40758.3387296391. The cubic root of 1661242176 is about 1184.3434145066.

The spelling of 1661242176 in words is "one billion, six hundred sixty-one million, two hundred forty-two thousand, one hundred seventy-six".