61266216 has 64 divisors (see below), whose sum is σ = 167961600. Its totient is φ = 18468800.

The previous prime is 61266209. The next prime is 61266217.

61266216 is nontrivially palindromic in base 10.

61266216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61266217) 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, 62611 + ... + 63581.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2^61266216 is an apocalyptic number.

61266216 is a gapful number since it is divisible by the number (66) 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 61266216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980800).

61266216 is an abundant number, since it is smaller than the sum of its proper divisors (106695384).

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

61266216 is a wasteful number, since it uses less digits than its factorization.

61266216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 61266216 is about 7827.2738549255. The cubic root of 61266216 is about 394.2215422012.

The spelling of 61266216 in words is "sixty-one million, two hundred sixty-six thousand, two hundred sixteen".