30660 has 48 divisors (see below), whose sum is σ = 99456. Its totient is φ = 6912.

The previous prime is 30649. The next prime is 30661. The reversal of 30660 is 6603.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (30661) 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, 384 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (2072).

2³⁰⁶⁶⁰ is an apocalyptic number.

30660 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 30660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49728).

30660 is an abundant number, since it is smaller than the sum of its proper divisors (68796).

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

30660 is a wasteful number, since it uses less digits than its factorization.

30660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 30660 is about 175.0999714449. The cubic root of 30660 is about 31.2985379046.

The spelling of 30660 in words is "thirty thousand, six hundred sixty".