61146860 has 48 divisors (see below), whose sum is σ = 132930336. Its totient is φ = 23611392.

The previous prime is 61146853. The next prime is 61146871. The reversal of 61146860 is 6864116.

It is a happy number.

61146860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 83054 + ... + 83786.

It is an arithmetic number, because the mean of its divisors is an integer number (2769382).

Almost surely, 2^61146860 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 61146860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66465168).

61146860 is an abundant number, since it is smaller than the sum of its proper divisors (71783476).

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

61146860 is a wasteful number, since it uses less digits than its factorization.

61146860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 61146860 is about 7819.6457720283. The cubic root of 61146860 is about 393.9653744039.

The spelling of 61146860 in words is "sixty-one million, one hundred forty-six thousand, eight hundred sixty".