359966096 has 120 divisors (see below), whose sum is σ = 873069120. Its totient is φ = 140652288.

The previous prime is 359966093. The next prime is 359966099. The reversal of 359966096 is 690669953.

It is an interprime number because it is at equal distance from previous prime (359966093) and next prime (359966099).

It is not an unprimeable number, because it can be changed into a prime (359966093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172375 + ... + 1172681.

It is an arithmetic number, because the mean of its divisors is an integer number (7275576).

Almost surely, 2^359966096 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 359966096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436534560).

359966096 is an abundant number, since it is smaller than the sum of its proper divisors (513103024).

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

359966096 is a wasteful number, since it uses less digits than its factorization.

359966096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 53.

The square root of 359966096 is about 18972.7724911253. The cubic root of 359966096 is about 711.3563281764.

The spelling of 359966096 in words is "three hundred fifty-nine million, nine hundred sixty-six thousand, ninety-six".