30168064 has 44 divisors (see below), whose sum is σ = 63890964. Its totient is φ = 14188544.

The previous prime is 30168059. The next prime is 30168079. The reversal of 30168064 is 46086103.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 11505664 = 4320^2 + 3392^2 .

It is a super-2 number, since 2×30168064² = 1820224171016192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16542 + ... + 18274.

Almost surely, 2^30168064 is an apocalyptic number.

30168064 is a gapful number since it is divisible by the number (34) 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 30168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31945482).

30168064 is an abundant number, since it is smaller than the sum of its proper divisors (33722900).

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

30168064 is a wasteful number, since it uses less digits than its factorization.

30168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 30168064 is about 5492.5462219266. The cubic root of 30168064 is about 311.3024081253.

The spelling of 30168064 in words is "thirty million, one hundred sixty-eight thousand, sixty-four".