354660 has 48 divisors (see below), whose sum is σ = 1040256. Its totient is φ = 90112.

The previous prime is 354647. The next prime is 354661. The reversal of 354660 is 66453.

354660 = 113² + 114² + ... + 135².

It is a self number, because there is not a number n which added to its sum of digits gives 354660.

It is not an unprimeable number, because it can be changed into a prime (354661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2³⁵⁴⁶⁶⁰ is an apocalyptic number.

354660 is a gapful number since it is divisible by the number (30) 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 354660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520128).

354660 is an abundant number, since it is smaller than the sum of its proper divisors (685596).

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

354660 is a wasteful number, since it uses less digits than its factorization.

354660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 354660 is about 595.5333743796. The cubic root of 354660 is about 70.7843752427.

The spelling of 354660 in words is "three hundred fifty-four thousand, six hundred sixty".