61088 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 28864.

The previous prime is 61057. The next prime is 61091. The reversal of 61088 is 88016.

61088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 695 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁶¹⁰⁸⁸ 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 61088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

61088 is an abundant number, since it is smaller than the sum of its proper divisors (65920).

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

61088 is a wasteful number, since it uses less digits than its factorization.

61088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

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

The square root of 61088 is about 247.1598672924. The cubic root of 61088 is about 39.3838923395.

It can be divided in two parts, 6108 and 8, that added together give a palindrome (6116).

The spelling of 61088 in words is "sixty-one thousand, eighty-eight".