61886 has 16 divisors (see below), whose sum is σ = 105840. Its totient is φ = 26880.

The previous prime is 61879. The next prime is 61909. The reversal of 61886 is 68816.

61886 = T₄₄ + T₄₅ + ... + T₇₆.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

61886 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁶¹⁸⁸⁶ is an apocalyptic number.

61886 is a deficient number, since it is larger than the sum of its proper divisors (43954).

61886 is a wasteful number, since it uses less digits than its factorization.

61886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its digits is 2304, while the sum is 29.

The square root of 61886 is about 248.7689691260. The cubic root of 61886 is about 39.5546431684.

It can be divided in two parts, 6188 and 6, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 61886 in words is "sixty-one thousand, eight hundred eighty-six".