350688 has 48 divisors (see below), whose sum is σ = 994896. Its totient is φ = 107520.

The previous prime is 350677. The next prime is 350699. The reversal of 350688 is 886053.

It is an interprime number because it is at equal distance from previous prime (350677) and next prime (350699).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

350688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1108 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (20727).

2³⁵⁰⁶⁸⁸ 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 350688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497448).

350688 is an abundant number, since it is smaller than the sum of its proper divisors (644208).

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

350688 is a wasteful number, since it uses less digits than its factorization.

350688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 350688 is about 592.1891589687. The cubic root of 350688 is about 70.5191336830.

The spelling of 350688 in words is "three hundred fifty thousand, six hundred eighty-eight".