30664032 has 48 divisors (see below), whose sum is σ = 91994112. Its totient is φ = 8760960.

The previous prime is 30664003. The next prime is 30664063. The reversal of 30664032 is 23046603.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 30663993 and 30664011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22144 + ... + 23487.

It is an arithmetic number, because the mean of its divisors is an integer number (1916544).

Almost surely, 2^30664032 is an apocalyptic number.

30664032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30664032 is an abundant number, since it is smaller than the sum of its proper divisors (61330080).

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

30664032 is a wasteful number, since it uses less digits than its factorization.

30664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45651 (or 45643 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 30664032 is about 5537.5113543902. The cubic root of 30664032 is about 312.9990983516. Note that the first 3 decimals are identical.

The spelling of 30664032 in words is "thirty million, six hundred sixty-four thousand, thirty-two".