354688 has 32 divisors (see below), whose sum is σ = 752760. Its totient is φ = 165888.

The previous prime is 354677. The next prime is 354689. The reversal of 354688 is 886453.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2095 + ... + 2257.

2³⁵⁴⁶⁸⁸ 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 354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376380).

354688 is an abundant number, since it is smaller than the sum of its proper divisors (398072).

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

354688 is a wasteful number, since it uses less digits than its factorization.

354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 354688 is about 595.5568822539. The cubic root of 354688 is about 70.7862379754.

The spelling of 354688 in words is "three hundred fifty-four thousand, six hundred eighty-eight".