61180840 has 64 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 20525568.

The previous prime is 61180831. The next prime is 61180843. The reversal of 61180840 is 4808116.

61180840 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 61180799 and 61180808.

It is not an unprimeable number, because it can be changed into a prime (61180843) 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 15 ways as a sum of consecutive naturals, for example, 10836 + ... + 15484.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^61180840 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 61180840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

61180840 is an abundant number, since it is smaller than the sum of its proper divisors (99523160).

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

61180840 is a wasteful number, since it uses less digits than its factorization.

61180840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 61180840 is about 7821.8182029500. The cubic root of 61180840 is about 394.0383378912.

Adding to 61180840 its reverse (4808116), we get a palindrome (65988956).

It can be divided in two parts, 61 and 180840, that added together give a triangular number (180901 = T₆₀₁).

The spelling of 61180840 in words is "sixty-one million, one hundred eighty thousand, eight hundred forty".