61543128 has 96 divisors (see below), whose sum is σ = 172411200. Its totient is φ = 18252288.

The previous prime is 61543127. The next prime is 61543159. The reversal of 61543128 is 82134516.

61543128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61543095 and 61543104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61543127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131551 + ... + 132017.

It is an arithmetic number, because the mean of its divisors is an integer number (1795950).

Almost surely, 2^61543128 is an apocalyptic number.

61543128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61543128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86205600).

61543128 is an abundant number, since it is smaller than the sum of its proper divisors (110868072).

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

61543128 is a wasteful number, since it uses less digits than its factorization.

61543128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 61543128 is about 7844.9428296196. The cubic root of 61543128 is about 394.8145858419.

The spelling of 61543128 in words is "sixty-one million, five hundred forty-three thousand, one hundred twenty-eight".