61218080 has 96 divisors (see below), whose sum is σ = 180351360. Its totient is φ = 19077120.

The previous prime is 61218077. The next prime is 61218083. The reversal of 61218080 is 8081216.

It is an interprime number because it is at equal distance from previous prime (61218077) and next prime (61218083).

It is not an unprimeable number, because it can be changed into a prime (61218083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9836 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (1878660).

Almost surely, 2^61218080 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 61218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175680).

61218080 is an abundant number, since it is smaller than the sum of its proper divisors (119133280).

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

61218080 is a wasteful number, since it uses less digits than its factorization.

61218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 61218080 is about 7824.1983614937. The cubic root of 61218080 is about 394.1182703854.

Adding to 61218080 its reverse (8081216), we get a palindrome (69299296).

The spelling of 61218080 in words is "sixty-one million, two hundred eighteen thousand, eighty".