30240 has 96 divisors (see below), whose sum is σ = 120960. Its totient is φ = 6912.

The previous prime is 30223. The next prime is 30241. The reversal of 30240 is 4203.

It is a Jordan-Polya number, since it can be written as 7! ⋅ 3!.

It is a tau number, because it is divible by the number of its divisors (96).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

30240 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30241) by changing a digit.

30240 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 15 ways as a sum of consecutive naturals, for example, 4317 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2³⁰²⁴⁰ is an apocalyptic number.

30240 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 30240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

30240 is an abundant number, since it is smaller than the sum of its proper divisors (90720).

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

30240 is a wasteful number, since it uses less digits than its factorization.

30240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30240 is about 173.8965209543. The cubic root of 30240 is about 31.1549646111.

Adding to 30240 its reverse (4203), we get a palindrome (34443).

The spelling of 30240 in words is "thirty thousand, two hundred forty".