61982336 has 48 divisors (see below), whose sum is σ = 133671510. Its totient is φ = 28459008.

The previous prime is 61982311. The next prime is 61982339. The reversal of 61982336 is 63328916.

It can be written as a sum of positive squares in 3 ways, for example, as 26460736 + 35521600 = 5144^2 + 5960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61982336.

It is not an unprimeable number, because it can be changed into a prime (61982339) 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 5 ways as a sum of consecutive naturals, for example, 321056 + ... + 321248.

Almost surely, 2^61982336 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 61982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66835755).

61982336 is an abundant number, since it is smaller than the sum of its proper divisors (71689174).

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

61982336 is an equidigital number, since it uses as much as digits as its factorization.

61982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 208 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 61982336 is about 7872.8861289873. The cubic root of 61982336 is about 395.7515701950.

The spelling of 61982336 in words is "sixty-one million, nine hundred eighty-two thousand, three hundred thirty-six".