30056064 has 64 divisors (see below), whose sum is σ = 82620000. Its totient is φ = 9669632.

The previous prime is 30055997. The next prime is 30056087. The reversal of 30056064 is 46065003.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9787 + ... + 12485.

Almost surely, 2^30056064 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 30056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310000).

30056064 is an abundant number, since it is smaller than the sum of its proper divisors (52563936).

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

30056064 is a wasteful number, since it uses less digits than its factorization.

30056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30056064 is about 5482.3411057686. The cubic root of 30056064 is about 310.9166900158.

The spelling of 30056064 in words is "thirty million, fifty-six thousand, sixty-four", and thus it is an eban number.