61213680 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 14476800.

The previous prime is 61213667. The next prime is 61213681. The reversal of 61213680 is 8631216.

61213680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×61213680² = 7494229238284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61213681) 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 47 ways as a sum of consecutive naturals, for example, 467215 + ... + 467345.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^61213680 is an apocalyptic number.

61213680 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 61213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

61213680 is an abundant number, since it is smaller than the sum of its proper divisors (168593040).

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

61213680 is a wasteful number, since it uses less digits than its factorization.

61213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61213680 is about 7823.9171774757. The cubic root of 61213680 is about 394.1088278486.

Adding to 61213680 its reverse (8631216), we get a palindrome (69844896).

It can be divided in two parts, 612136 and 80, that added together give a palindrome (612216).

The spelling of 61213680 in words is "sixty-one million, two hundred thirteen thousand, six hundred eighty".