61452160 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 18063360.

The previous prime is 61452151. The next prime is 61452179. The reversal of 61452160 is 6125416.

61452160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1429099 + ... + 1429141.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^61452160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

61452160 is an abundant number, since it is smaller than the sum of its proper divisors (132429440).

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

61452160 is a wasteful number, since it uses less digits than its factorization.

61452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 61452160 is about 7839.1428102823. The cubic root of 61452160 is about 394.6199624142.

Adding to 61452160 its reverse (6125416), we get a palindrome (67577576).

The spelling of 61452160 in words is "sixty-one million, four hundred fifty-two thousand, one hundred sixty".