30106960 has 40 divisors (see below), whose sum is σ = 75385800. Its totient is φ = 11116032.

The previous prime is 30106943. The next prime is 30106969. The reversal of 30106960 is 6960103.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 23736384 = 2524^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30106969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13435 + ... + 15514.

It is an arithmetic number, because the mean of its divisors is an integer number (1884645).

Almost surely, 2^30106960 is an apocalyptic number.

It is an amenable number.

30106960 is an abundant number, since it is smaller than the sum of its proper divisors (45278840).

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

30106960 is a wasteful number, since it uses less digits than its factorization.

30106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28975 (or 28969 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 30106960 is about 5486.9809549515. The cubic root of 30106960 is about 311.0920899180.

The spelling of 30106960 in words is "thirty million, one hundred six thousand, nine hundred sixty".