30561680 has 20 divisors (see below), whose sum is σ = 71056092. Its totient is φ = 12224640.

The previous prime is 30561677. The next prime is 30561683. The reversal of 30561680 is 8616503.

It is an interprime number because it is at equal distance from previous prime (30561677) and next prime (30561683).

It can be written as a sum of positive squares in 2 ways, for example, as 12988816 + 17572864 = 3604^2 + 4192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30561683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190931 + ... + 191090.

Almost surely, 2^30561680 is an apocalyptic number.

It is an amenable number.

30561680 is an abundant number, since it is smaller than the sum of its proper divisors (40494412).

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

30561680 is a wasteful number, since it uses less digits than its factorization.

30561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382034 (or 382028 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 30561680 is about 5528.2619330129. The cubic root of 30561680 is about 312.6504619442.

The spelling of 30561680 in words is "thirty million, five hundred sixty-one thousand, six hundred eighty".