61188912 has 80 divisors (see below), whose sum is σ = 177072000. Its totient is φ = 20229696.

The previous prime is 61188893. The next prime is 61188923. The reversal of 61188912 is 21988116.

61188912 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 (36).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59539 + ... + 60557.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^61188912 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 61188912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536000).

61188912 is an abundant number, since it is smaller than the sum of its proper divisors (115883088).

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

61188912 is a wasteful number, since it uses less digits than its factorization.

61188912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 61188912 is about 7822.3341784917. The cubic root of 61188912 is about 394.0556665058.

The spelling of 61188912 in words is "sixty-one million, one hundred eighty-eight thousand, nine hundred twelve".