61668160 has 56 divisors (see below), whose sum is σ = 148352256. Its totient is φ = 24414720.

The previous prime is 61668151. The next prime is 61668179. The reversal of 61668160 is 6186616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32025 + ... + 33895.

Almost surely, 2^61668160 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 61668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74176128).

61668160 is an abundant number, since it is smaller than the sum of its proper divisors (86684096).

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

61668160 is a wasteful number, since it uses less digits than its factorization.

61668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 61668160 is about 7852.9077417222. The cubic root of 61668160 is about 395.0817755169.

The spelling of 61668160 in words is "sixty-one million, six hundred sixty-eight thousand, one hundred sixty".