30664116 has 96 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 8564832.

The previous prime is 30664111. The next prime is 30664147. The reversal of 30664116 is 61146603.

30664116 is a `hidden beast` number, since 3 + 0 + 6 + 641 + 16 = 666.

It is a super-2 number, since 2×30664116² = 1880576020122912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30664116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35101 + ... + 35963.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 2^30664116 is an apocalyptic number.

30664116 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 30664116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

30664116 is an abundant number, since it is smaller than the sum of its proper divisors (62233164).

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

30664116 is a wasteful number, since it uses less digits than its factorization.

30664116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30664116 is about 5537.5189390195. The cubic root of 30664116 is about 312.9993841577. Note that the first 3 decimals are identical.

The spelling of 30664116 in words is "thirty million, six hundred sixty-four thousand, one hundred sixteen".