361216064 has 56 divisors (see below), whose sum is σ = 784555200. Its totient is φ = 163642880.

The previous prime is 361216021. The next prime is 361216099. The reversal of 361216064 is 460612163.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273197 + ... + 274515.

Almost surely, 2^361216064 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 361216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392277600).

361216064 is an abundant number, since it is smaller than the sum of its proper divisors (423339136).

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

361216064 is a wasteful number, since it uses less digits than its factorization.

361216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 361216064 is about 19005.6850442177. The cubic root of 361216064 is about 712.1787625038.

The spelling of 361216064 in words is "three hundred sixty-one million, two hundred sixteen thousand, sixty-four".