61661160 has 192 divisors, whose sum is σ = 228458880. Its totient is φ = 14277120.

The previous prime is 61661153. The next prime is 61661161. The reversal of 61661160 is 6116616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61661161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90742 + ... + 91418.

It is an arithmetic number, because the mean of its divisors is an integer number (1189890).

Almost surely, 2^61661160 is an apocalyptic number.

61661160 is a gapful number since it is divisible by the number (60) 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 61661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114229440).

61661160 is an abundant number, since it is smaller than the sum of its proper divisors (166797720).

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

61661160 is a wasteful number, since it uses less digits than its factorization.

61661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61661160 is about 7852.4620342922. The cubic root of 61661160 is about 395.0668262731.

Adding to 61661160 its reverse (6116616), we get a palindrome (67777776).

It can be divided in two parts, 616 and 61160, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61661160 in words is "sixty-one million, six hundred sixty-one thousand, one hundred sixty".