30660120 has 80 divisors (see below), whose sum is σ = 103062960. Its totient is φ = 8175168.

The previous prime is 30660107. The next prime is 30660131. The reversal of 30660120 is 2106603.

It is a happy number.

30660120 is a `hidden beast` number, since 3 + 0 + 660 + 1 + 2 + 0 = 666.

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 = 30660093 and 30660102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1492 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (1288287).

Almost surely, 2^30660120 is an apocalyptic number.

30660120 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 30660120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51531480).

30660120 is an abundant number, since it is smaller than the sum of its proper divisors (72402840).

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

30660120 is a wasteful number, since it uses less digits than its factorization.

30660120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30660120 is about 5537.1581158569. The cubic root of 30660120 is about 312.9857873760.

Adding to 30660120 its reverse (2106603), we get a palindrome (32766723).

The spelling of 30660120 in words is "thirty million, six hundred sixty thousand, one hundred twenty".