30146560 has 76 divisors (see below), whose sum is σ = 75497328. Its totient is φ = 11534336.

The previous prime is 30146531. The next prime is 30146563. The reversal of 30146560 is 6564103.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (30146563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310709 + ... + 1310731.

Almost surely, 2^30146560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748664).

30146560 is an abundant number, since it is smaller than the sum of its proper divisors (45350768).

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

30146560 is an frugal number, since it uses more digits than its factorization.

30146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 30146560 is about 5490.5883109190. The cubic root of 30146560 is about 311.2284243900.

The spelling of 30146560 in words is "thirty million, one hundred forty-six thousand, five hundred sixty".