30540 has 24 divisors (see below), whose sum is σ = 85680. Its totient is φ = 8128.

The previous prime is 30539. The next prime is 30553. The reversal of 30540 is 4503.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2³⁰⁵⁴⁰ is an apocalyptic number.

30540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30540 is an abundant number, since it is smaller than the sum of its proper divisors (55140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840).

30540 is a wasteful number, since it uses less digits than its factorization.

30540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 30540 is about 174.7569741098. The cubic root of 30540 is about 31.2576514597.

The spelling of 30540 in words is "thirty thousand, five hundred forty".