61618080 has 192 divisors, whose sum is σ = 207277056. Its totient is φ = 15360000.

The previous prime is 61618043. The next prime is 61618087. The reversal of 61618080 is 8081616.

61618080 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 (30).

It is not an unprimeable number, because it can be changed into a prime (61618087) 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 31 ways as a sum of consecutive naturals, for example, 610030 + ... + 610130.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2^61618080 is an apocalyptic number.

61618080 is a gapful number since it is divisible by the number (60) 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 61618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

61618080 is an abundant number, since it is smaller than the sum of its proper divisors (145658976).

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

61618080 is a wasteful number, since it uses less digits than its factorization.

61618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 61618080 is about 7849.7184662891. The cubic root of 61618080 is about 394.9747994391.

Adding to 61618080 its reverse (8081616), we get a palindrome (69699696).

It can be divided in two parts, 6161 and 8080, that added together give a palindrome (14241).

The spelling of 61618080 in words is "sixty-one million, six hundred eighteen thousand, eighty".