61983160 has 64 divisors (see below), whose sum is σ = 147355200. Its totient is φ = 23417856.

The previous prime is 61983157. The next prime is 61983161. The reversal of 61983160 is 6138916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61983161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81502 + ... + 82258.

It is an arithmetic number, because the mean of its divisors is an integer number (2302425).

Almost surely, 2^61983160 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 61983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73677600).

61983160 is an abundant number, since it is smaller than the sum of its proper divisors (85372040).

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

61983160 is a wasteful number, since it uses less digits than its factorization.

61983160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 61983160 is about 7872.9384603209. The cubic root of 61983160 is about 395.7533239089.

The spelling of 61983160 in words is "sixty-one million, nine hundred eighty-three thousand, one hundred sixty".