30520 has 32 divisors (see below), whose sum is σ = 79200. Its totient is φ = 10368.

The previous prime is 30517. The next prime is 30529. The reversal of 30520 is 2503.

30520 = 63² + 64² + ... + 69².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30497 and 30506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

2³⁰⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600).

30520 is an abundant number, since it is smaller than the sum of its proper divisors (48680).

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

30520 is a wasteful number, since it uses less digits than its factorization.

30520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 30520 is about 174.6997424154. The cubic root of 30520 is about 31.2508266448.

It can be divided in two parts, 305 and 20, that added together give a triangular number (325 = T₂₅).

The spelling of 30520 in words is "thirty thousand, five hundred twenty".