61128 has 32 divisors (see below), whose sum is σ = 170400. Its totient is φ = 20304.

The previous prime is 61121. The next prime is 61129. The reversal of 61128 is 82116.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 61128.

It is not an unprimeable number, because it can be changed into a prime (61121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (5325).

2⁶¹¹²⁸ 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 61128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85200).

61128 is an abundant number, since it is smaller than the sum of its proper divisors (109272).

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

61128 is a wasteful number, since it uses less digits than its factorization.

61128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 61128 is about 247.2407733364. The cubic root of 61128 is about 39.3924865641.

The spelling of 61128 in words is "sixty-one thousand, one hundred twenty-eight".