61880 has 64 divisors (see below), whose sum is σ = 181440. Its totient is φ = 18432.

The previous prime is 61879. The next prime is 61909. The reversal of 61880 is 8816.

61880 = T₉₁ + T₉₂ + ... + T₁₀₃.

61880 = 91² + 92² + ... + 97².

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3632 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2⁶¹⁸⁸⁰ 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 61880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

61880 is an abundant number, since it is smaller than the sum of its proper divisors (119560).

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

61880 is a wasteful number, since it uses less digits than its factorization.

61880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 61880 is about 248.7569094518. The cubic root of 61880 is about 39.5533648204.

The spelling of 61880 in words is "sixty-one thousand, eight hundred eighty".