361604016 has 120 divisors (see below), whose sum is σ = 1056472560. Its totient is φ = 115315200.

The previous prime is 361604003. The next prime is 361604017. The reversal of 361604016 is 610406163.

361604016 is a `hidden beast` number, since 3 + 616 + 0 + 40 + 1 + 6 = 666.

It is a super-3 number, since 3×361604016³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (361604017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546726 + ... + 547386.

It is an arithmetic number, because the mean of its divisors is an integer number (8803938).

Almost surely, 2^361604016 is an apocalyptic number.

361604016 is a gapful number since it is divisible by the number (36) 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 361604016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528236280).

361604016 is an abundant number, since it is smaller than the sum of its proper divisors (694868544).

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

361604016 is a wasteful number, since it uses less digits than its factorization.

361604016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 361604016 is about 19015.8885146080. Note that the first 3 decimals coincide. The cubic root of 361604016 is about 712.4336351853.

The spelling of 361604016 in words is "three hundred sixty-one million, six hundred four thousand, sixteen".