30206880 has 144 divisors (see below), whose sum is σ = 112510944. Its totient is φ = 7319040.

The previous prime is 30206863. The next prime is 30206881. The reversal of 30206880 is 8860203.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30206881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14887 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (781326).

Almost surely, 2^30206880 is an apocalyptic number.

30206880 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 30206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255472).

30206880 is an abundant number, since it is smaller than the sum of its proper divisors (82304064).

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

30206880 is a wasteful number, since it uses less digits than its factorization.

30206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30206880 is about 5496.0786020580. The cubic root of 30206880 is about 311.4358642145.

The spelling of 30206880 in words is "thirty million, two hundred six thousand, eight hundred eighty".