30616144 has 80 divisors (see below), whose sum is σ = 68884480. Its totient is φ = 13063680.

The previous prime is 30616121. The next prime is 30616147. The reversal of 30616144 is 44161603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30616147) 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 15 ways as a sum of consecutive naturals, for example, 241009 + ... + 241135.

It is an arithmetic number, because the mean of its divisors is an integer number (861056).

Almost surely, 2^30616144 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 30616144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34442240).

30616144 is an abundant number, since it is smaller than the sum of its proper divisors (38268336).

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

30616144 is a wasteful number, since it uses less digits than its factorization.

30616144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 30616144 is about 5533.1857008418. The cubic root of 30616144 is about 312.8360766251.

Adding to 30616144 its reverse (44161603), we get a palindrome (74777747).

The spelling of 30616144 in words is "thirty million, six hundred sixteen thousand, one hundred forty-four".