359648016 has 160 divisors (see below), whose sum is σ = 1153759488. Its totient is φ = 94003200.

The previous prime is 359647999. The next prime is 359648077. The reversal of 359648016 is 610846953.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598116 + ... + 598716.

Almost surely, 2^359648016 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 359648016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576879744).

359648016 is an abundant number, since it is smaller than the sum of its proper divisors (794111472).

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

359648016 is a wasteful number, since it uses less digits than its factorization.

359648016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 359648016 is about 18964.3880998043. The cubic root of 359648016 is about 711.1467390859.

The spelling of 359648016 in words is "three hundred fifty-nine million, six hundred forty-eight thousand, sixteen".