61616160 has 192 divisors, whose sum is σ = 228614400. Its totient is φ = 15446016.

The previous prime is 61616141. The next prime is 61616167. The reversal of 61616160 is 6161616.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61616167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73021 + ... + 73859.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^61616160 is an apocalyptic number.

61616160 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 61616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

61616160 is an abundant number, since it is smaller than the sum of its proper divisors (166998240).

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

61616160 is a wasteful number, since it uses less digits than its factorization.

61616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

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

The square root of 61616160 is about 7849.5961679567. The cubic root of 61616160 is about 394.9706969663.

Adding to 61616160 its reverse (6161616), we get a palindrome (67777776).

It can be divided in two parts, 61616 and 160, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61616160 in words is "sixty-one million, six hundred sixteen thousand, one hundred sixty".