354768 has 40 divisors (see below), whose sum is σ = 967200. Its totient is φ = 111744.

The previous prime is 354763. The next prime is 354779. The reversal of 354768 is 867453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354763) by changing a digit.

354768 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, 718 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2³⁵⁴⁷⁶⁸ is an apocalyptic number.

354768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483600).

354768 is an abundant number, since it is smaller than the sum of its proper divisors (612432).

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

354768 is a wasteful number, since it uses less digits than its factorization.

354768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 354768 is about 595.6240424966. The cubic root of 354768 is about 70.7915595288.

Adding to 354768 its reverse (867453), we get a palindrome (1222221).

The spelling of 354768 in words is "three hundred fifty-four thousand, seven hundred sixty-eight".