30144096 has 96 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 9936000.

The previous prime is 30144073. The next prime is 30144097. The reversal of 30144096 is 69044103.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144097) 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, 119971 + ... + 120221.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^30144096 is an apocalyptic number.

30144096 is a gapful number since it is divisible by the number (36) 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 30144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

30144096 is an abundant number, since it is smaller than the sum of its proper divisors (58761504).

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

30144096 is a wasteful number, since it uses less digits than its factorization.

30144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30144096 is about 5490.3639223643. The cubic root of 30144096 is about 311.2199448407.

Adding to 30144096 its reverse (69044103), we get a palindrome (99188199).

The spelling of 30144096 in words is "thirty million, one hundred forty-four thousand, ninety-six".