30516480 has 144 divisors (see below), whose sum is σ = 108413760. Its totient is φ = 8128512.

The previous prime is 30516461. The next prime is 30516481. The reversal of 30516480 is 8461503.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30516481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34119 + ... + 35001.

Almost surely, 2^30516480 is an apocalyptic number.

30516480 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 30516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54206880).

30516480 is an abundant number, since it is smaller than the sum of its proper divisors (77897280).

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

30516480 is an equidigital number, since it uses as much as digits as its factorization.

30516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30516480 is about 5524.1723361966. The cubic root of 30516480 is about 312.4962516884.

Adding to 30516480 its reverse (8461503), we get a palindrome (38977983).

The spelling of 30516480 in words is "thirty million, five hundred sixteen thousand, four hundred eighty".