30125664 has 72 divisors (see below), whose sum is σ = 88648560. Its totient is φ = 9692928.

The previous prime is 30125663. The next prime is 30125759. The reversal of 30125664 is 46652103.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30125663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6549 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (1231230).

Almost surely, 2^30125664 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 30125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44324280).

30125664 is an abundant number, since it is smaller than the sum of its proper divisors (58522896).

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

30125664 is a wasteful number, since it uses less digits than its factorization.

30125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30125664 is about 5488.6850884342. The cubic root of 30125664 is about 311.1564987447.

Adding to 30125664 its reverse (46652103), we get a palindrome (76777767).

The spelling of 30125664 in words is "thirty million, one hundred twenty-five thousand, six hundred sixty-four".