30126624 has 96 divisors (see below), whose sum is σ = 88252416. Its totient is φ = 8920320.

The previous prime is 30126623. The next prime is 30126641. The reversal of 30126624 is 42662103.

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

It is a super-2 number, since 2×30126624² = 1815226947274752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30126594 and 30126603.

It is not an unprimeable number, because it can be changed into a prime (30126623) 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, 49329 + ... + 49935.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 2^30126624 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 30126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44126208).

30126624 is an abundant number, since it is smaller than the sum of its proper divisors (58125792).

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

30126624 is a wasteful number, since it uses less digits than its factorization.

30126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30126624 is about 5488.7725403773. The cubic root of 30126624 is about 311.1598038676.

Adding to 30126624 its reverse (42662103), we get a palindrome (72788727).

The spelling of 30126624 in words is "thirty million, one hundred twenty-six thousand, six hundred twenty-four".