30360820 has 48 divisors (see below), whose sum is σ = 73261440. Its totient is φ = 10353024.

The previous prime is 30360791. The next prime is 30360821. The reversal of 30360820 is 2806303.

It is a junction number, because it is equal to n+sod(n) for n = 30360791 and 30360800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30360821) 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, 31587 + ... + 32533.

It is an arithmetic number, because the mean of its divisors is an integer number (1526280).

Almost surely, 2^30360820 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 30360820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36630720).

30360820 is an abundant number, since it is smaller than the sum of its proper divisors (42900620).

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

30360820 is a wasteful number, since it uses less digits than its factorization.

30360820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 30360820 is about 5510.0653353658. The cubic root of 30360820 is about 311.9640134913.

The spelling of 30360820 in words is "thirty million, three hundred sixty thousand, eight hundred twenty".