30064032 has 72 divisors (see below), whose sum is σ = 86224320. Its totient is φ = 9936000.

The previous prime is 30064019. The next prime is 30064043. The reversal of 30064032 is 23046003.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30063996 and 30064014.

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 11 ways as a sum of consecutive naturals, for example, 39657 + ... + 40407.

It is an arithmetic number, because the mean of its divisors is an integer number (1197560).

Almost surely, 2^30064032 is an apocalyptic number.

30064032 is a gapful number since it is divisible by the number (32) 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 30064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43112160).

30064032 is an abundant number, since it is smaller than the sum of its proper divisors (56160288).

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

30064032 is a wasteful number, since it uses less digits than its factorization.

30064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30064032 is about 5483.0677544601. The cubic root of 30064032 is about 310.9441627336.

The spelling of 30064032 in words is "thirty million, sixty-four thousand, thirty-two", and thus it is an eban number.