361220016 has 80 divisors (see below), whose sum is σ = 960367104. Its totient is φ = 116942592.

The previous prime is 361219997. The next prime is 361220017. The reversal of 361220016 is 610022163.

It is a happy number.

361220016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 361219974 and 361220001.

It is not an unprimeable number, because it can be changed into a prime (361220017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271545 + ... + 272871.

Almost surely, 2^361220016 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 361220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480183552).

361220016 is an abundant number, since it is smaller than the sum of its proper divisors (599147088).

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

361220016 is a wasteful number, since it uses less digits than its factorization.

361220016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 361220016 is about 19005.7890128245. The cubic root of 361220016 is about 712.1813597676.

Adding to 361220016 its reverse (610022163), we get a palindrome (971242179).

The spelling of 361220016 in words is "three hundred sixty-one million, two hundred twenty thousand, sixteen".