30642144 has 96 divisors (see below), whose sum is σ = 88792704. Its totient is φ = 9192960.

The previous prime is 30642137. The next prime is 30642149. The reversal of 30642144 is 44124603.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30642149) 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, 53379 + ... + 53949.

It is an arithmetic number, because the mean of its divisors is an integer number (924924).

Almost surely, 2^30642144 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 30642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44396352).

30642144 is an abundant number, since it is smaller than the sum of its proper divisors (58150560).

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

30642144 is a wasteful number, since it uses less digits than its factorization.

30642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30642144 is about 5535.5346625236. The cubic root of 30642144 is about 312.9246076587.

Adding to 30642144 its reverse (44124603), we get a palindrome (74766747).

The spelling of 30642144 in words is "thirty million, six hundred forty-two thousand, one hundred forty-four".