30432864 has 192 divisors, whose sum is σ = 104509440. Its totient is φ = 7518720.

The previous prime is 30432859. The next prime is 30432869. The reversal of 30432864 is 46823403.

It is an interprime number because it is at equal distance from previous prime (30432859) and next prime (30432869).

It is a super-2 number, since 2×30432864² = 1852318422484992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432869) 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 31 ways as a sum of consecutive naturals, for example, 169927 + ... + 170105.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^30432864 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 30432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

30432864 is an abundant number, since it is smaller than the sum of its proper divisors (74076576).

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

30432864 is a wasteful number, since it uses less digits than its factorization.

30432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 30432864 is about 5516.5989522531. The cubic root of 30432864 is about 312.2105744813.

The spelling of 30432864 in words is "thirty million, four hundred thirty-two thousand, eight hundred sixty-four".