61641360 has 240 divisors, whose sum is σ = 232360128. Its totient is φ = 14515200.

The previous prime is 61641343. The next prime is 61641367. The reversal of 61641360 is 6314616.

61641360 is a `hidden beast` number, since 616 + 41 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (61641367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340470 + ... + 340650.

Almost surely, 2^61641360 is an apocalyptic number.

61641360 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 61641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116180064).

61641360 is an abundant number, since it is smaller than the sum of its proper divisors (170718768).

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

61641360 is a wasteful number, since it uses less digits than its factorization.

61641360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61641360 is about 7851.2011819848. The cubic root of 61641360 is about 395.0245351421.

Adding to 61641360 its reverse (6314616), we get a palindrome (67955976).

It can be divided in two parts, 61641 and 360, that added together give a square (62001 = 249²).

The spelling of 61641360 in words is "sixty-one million, six hundred forty-one thousand, three hundred sixty".