61755980 has 108 divisors (see below), whose sum is σ = 155380176. Its totient is φ = 20592000.

The previous prime is 61755929. The next prime is 61756001. The reversal of 61755980 is 8955716.

61755980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

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 35 ways as a sum of consecutive naturals, for example, 408905 + ... + 409055.

Almost surely, 2^61755980 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 61755980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77690088).

61755980 is an abundant number, since it is smaller than the sum of its proper divisors (93624196).

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

61755980 is a wasteful number, since it uses less digits than its factorization.

61755980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 61755980 is about 7858.4973118275. The cubic root of 61755980 is about 395.2692284079.

The spelling of 61755980 in words is "sixty-one million, seven hundred fifty-five thousand, nine hundred eighty".