661648176 has 360 divisors, whose sum is σ = 2346349824. Its totient is φ = 179625600.

The previous prime is 661648111. The next prime is 661648189. The reversal of 661648176 is 671846166.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4381701 + ... + 4381851.

Almost surely, 2^661648176 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 661648176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173174912).

661648176 is an abundant number, since it is smaller than the sum of its proper divisors (1684701648).

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

661648176 is a wasteful number, since it uses less digits than its factorization.

661648176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 661648176 is about 25722.5227378654. The cubic root of 661648176 is about 871.3829135777.

The spelling of 661648176 in words is "six hundred sixty-one million, six hundred forty-eight thousand, one hundred seventy-six".