359981088 has 96 divisors (see below), whose sum is σ = 971611200. Its totient is φ = 116653056.

The previous prime is 359981081. The next prime is 359981093. The reversal of 359981088 is 880189953.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 359981088.

It is not an unprimeable number, because it can be changed into a prime (359981081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706978 + ... + 707486.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^359981088 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 359981088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485805600).

359981088 is an abundant number, since it is smaller than the sum of its proper divisors (611630112).

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

359981088 is a wasteful number, since it uses less digits than its factorization.

359981088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 359981088 is about 18973.1675795055. The cubic root of 359981088 is about 711.3662036491.

The spelling of 359981088 in words is "three hundred fifty-nine million, nine hundred eighty-one thousand, eighty-eight".