30742560 has 144 divisors (see below), whose sum is σ = 107931096. Its totient is φ = 7962624.

The previous prime is 30742553. The next prime is 30742561. The reversal of 30742560 is 6524703.

It is a happy number.

30742560 is a `hidden beast` number, since 30 + 74 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 404496 = 5508^2 + 636^2 .

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 (30742561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52992 + ... + 53568.

Almost surely, 2^30742560 is an apocalyptic number.

30742560 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 30742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53965548).

30742560 is an abundant number, since it is smaller than the sum of its proper divisors (77188536).

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

30742560 is a wasteful number, since it uses less digits than its factorization.

30742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30742560 is about 5544.5973704138. The cubic root of 30742560 is about 313.2660586919.

The spelling of 30742560 in words is "thirty million, seven hundred forty-two thousand, five hundred sixty".