61206880 has 144 divisors (see below), whose sum is σ = 173574576. Its totient is φ = 20321280.

The previous prime is 61206877. The next prime is 61207001. The reversal of 61206880 is 8860216.

61206880 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 23 ways as a sum of consecutive naturals, for example, 289975 + ... + 290185.

It is an arithmetic number, because the mean of its divisors is an integer number (1205379).

Almost surely, 2^61206880 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 61206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86787288).

61206880 is an abundant number, since it is smaller than the sum of its proper divisors (112367696).

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

61206880 is a wasteful number, since it uses less digits than its factorization.

61206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 61206880 is about 7823.4826004791. The cubic root of 61206880 is about 394.0942339469.

The spelling of 61206880 in words is "sixty-one million, two hundred six thousand, eight hundred eighty".