30164256 has 144 divisors (see below), whose sum is σ = 93228408. Its totient is φ = 9216000.

The previous prime is 30164219. The next prime is 30164297. The reversal of 30164256 is 65246103.

It can be written as a sum of positive squares in 4 ways, for example, as 28259856 + 1904400 = 5316^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298606 + ... + 298706.

Almost surely, 2^30164256 is an apocalyptic number.

30164256 is a gapful number since it is divisible by the number (36) 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 30164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46614204).

30164256 is an abundant number, since it is smaller than the sum of its proper divisors (63064152).

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

30164256 is a wasteful number, since it uses less digits than its factorization.

30164256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

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

The square root of 30164256 is about 5492.1995593751. The cubic root of 30164256 is about 311.2893094011.

The spelling of 30164256 in words is "thirty million, one hundred sixty-four thousand, two hundred fifty-six".