62641216 has 42 divisors (see below), whose sum is σ = 136648190. Its totient is φ = 28469760.

The previous prime is 62641207. The next prime is 62641217. The reversal of 62641216 is 61214626.

62641216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34762816 + 27878400 = 5896^2 + 5280^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (62641217) 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 5 ways as a sum of consecutive naturals, for example, 3700 + ... + 11788.

Almost surely, 2^62641216 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 62641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68324095).

62641216 is an abundant number, since it is smaller than the sum of its proper divisors (74006974).

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

62641216 is a wasteful number, since it uses less digits than its factorization.

62641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8102 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 62641216 is about 7914.6203951927. The cubic root of 62641216 is about 397.1489267349.

It can be divided in two parts, 62 and 641216, that added together give a triangular number (641278 = T₁₁₃₂).

The spelling of 62641216 in words is "sixty-two million, six hundred forty-one thousand, two hundred sixteen".