61216680 has 192 divisors, whose sum is σ = 221616000. Its totient is φ = 13472256.

The previous prime is 61216663. The next prime is 61216681. The reversal of 61216680 is 8661216.

61216680 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 (61216681) 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, 170341 + ... + 170699.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^61216680 is an apocalyptic number.

61216680 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 61216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110808000).

61216680 is an abundant number, since it is smaller than the sum of its proper divisors (160399320).

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

61216680 is a wasteful number, since it uses less digits than its factorization.

61216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 61216680 is about 7824.1088949477. The cubic root of 61216680 is about 394.1152659910.

Adding to 61216680 its reverse (8661216), we get a palindrome (69877896).

The spelling of 61216680 in words is "sixty-one million, two hundred sixteen thousand, six hundred eighty".