61350660 has 288 divisors, whose sum is σ = 232727040. Its totient is φ = 12773376.

The previous prime is 61350617. The next prime is 61350661. The reversal of 61350660 is 6605316.

It is not an unprimeable number, because it can be changed into a prime (61350661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840384 + ... + 840456.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 2^61350660 is an apocalyptic number.

61350660 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 61350660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

61350660 is an abundant number, since it is smaller than the sum of its proper divisors (171376380).

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

61350660 is a wasteful number, since it uses less digits than its factorization.

61350660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 61350660 is about 7832.6662127273. Note that the first 3 decimals coincide. The cubic root of 61350660 is about 394.4025792298.

Adding to 61350660 its reverse (6605316), we get a palindrome (67955976).

The spelling of 61350660 in words is "sixty-one million, three hundred fifty thousand, six hundred sixty".