61152660 has 72 divisors (see below), whose sum is σ = 186620616. Its totient is φ = 16208640.

The previous prime is 61152647. The next prime is 61152667. The reversal of 61152660 is 6625116.

It is a happy number.

61152660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 61027344 = 354^2 + 7812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61152667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31642 + ... + 33518.

It is an arithmetic number, because the mean of its divisors is an integer number (2591953).

Almost surely, 2^61152660 is an apocalyptic number.

61152660 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 61152660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93310308).

61152660 is an abundant number, since it is smaller than the sum of its proper divisors (125467956).

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

61152660 is a wasteful number, since it uses less digits than its factorization.

61152660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61152660 is about 7820.0166240233. The cubic root of 61152660 is about 393.9778303552.

Adding to 61152660 its reverse (6625116), we get a palindrome (67777776).

The spelling of 61152660 in words is "sixty-one million, one hundred fifty-two thousand, six hundred sixty".