61888 has 14 divisors (see below), whose sum is σ = 122936. Its totient is φ = 30912.

The previous prime is 61879. The next prime is 61909. The reversal of 61888 is 88816.

It is a super-3 number, since 3×61888³ = 711116243337216, which contains 333 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 420 + ... + 547.

2⁶¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

61888 is a deficient number, since it is larger than the sum of its proper divisors (61048).

61888 is an equidigital number, since it uses as much as digits as its factorization.

61888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 61888 is about 248.7729888875. The cubic root of 61888 is about 39.5550692660. Note that the first 3 decimals are identical.

It can be divided in two parts, 61 and 888, that added together give a palindrome (949).

The spelling of 61888 in words is "sixty-one thousand, eight hundred eighty-eight".