30813120 has 168 divisors, whose sum is σ = 114275616. Its totient is φ = 7575552.

The previous prime is 30813091. The next prime is 30813131. The reversal of 30813120 is 2131803.

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

It is a junction number, because it is equal to n+sod(n) for n = 30813093 and 30813102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37029 + ... + 37851.

It is an arithmetic number, because the mean of its divisors is an integer number (680212).

Almost surely, 2^30813120 is an apocalyptic number.

30813120 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 30813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57137808).

30813120 is an abundant number, since it is smaller than the sum of its proper divisors (83462496).

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

30813120 is a wasteful number, since it uses less digits than its factorization.

30813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30813120 is about 5550.9566743040. The cubic root of 30813120 is about 313.5055438837.

Adding to 30813120 its reverse (2131803), we get a palindrome (32944923).

The spelling of 30813120 in words is "thirty million, eight hundred thirteen thousand, one hundred twenty".