30960 has 60 divisors (see below), whose sum is σ = 106392. Its totient is φ = 8064.

The previous prime is 30949. The next prime is 30971. The reversal of 30960 is 6903.

It is an interprime number because it is at equal distance from previous prime (30949) and next prime (30971).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

30960 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 11 ways as a sum of consecutive naturals, for example, 699 + ... + 741.

2³⁰⁹⁶⁰ is an apocalyptic number.

30960 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 30960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196).

30960 is an abundant number, since it is smaller than the sum of its proper divisors (75432).

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

30960 is a wasteful number, since it uses less digits than its factorization.

30960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30960 is about 175.9545395834. The cubic root of 30960 is about 31.4002893938.

It can be divided in two parts, 30 and 960, that added together give a triangular number (990 = T₄₄).

The spelling of 30960 in words is "thirty thousand, nine hundred sixty".