30906720 has 216 divisors, whose sum is σ = 115105536. Its totient is φ = 7547904.

The previous prime is 30906719. The next prime is 30906767. The reversal of 30906720 is 2760903.

It is a super-3 number, since 3×30906720³ (a number of 23 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 243297 + ... + 243423.

It is an arithmetic number, because the mean of its divisors is an integer number (532896).

Almost surely, 2^30906720 is an apocalyptic number.

30906720 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 30906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57552768).

30906720 is an abundant number, since it is smaller than the sum of its proper divisors (84198816).

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

30906720 is a wasteful number, since it uses less digits than its factorization.

30906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30906720 is about 5559.3812605361. The cubic root of 30906720 is about 313.8226648200.

It can be divided in two parts, 30906 and 720, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 30906720 in words is "thirty million, nine hundred six thousand, seven hundred twenty".