359662016 has 56 divisors (see below), whose sum is σ = 818851296. Its totient is φ = 153538560.

The previous prime is 359662003. The next prime is 359662027. The reversal of 359662016 is 610266953.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent 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, 124460 + ... + 127316.

It is the magic constant of a 896 × 896 magic square.

Almost surely, 2^359662016 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 359662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409425648).

359662016 is an abundant number, since it is smaller than the sum of its proper divisors (459189280).

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

359662016 is a wasteful number, since it uses less digits than its factorization.

359662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 359662016 is about 18964.7572090971. The cubic root of 359662016 is about 711.1559665571.

The spelling of 359662016 in words is "three hundred fifty-nine million, six hundred sixty-two thousand, sixteen".