30666816 has 56 divisors (see below), whose sum is σ = 90159840. Its totient is φ = 10221696.

The previous prime is 30666803. The next prime is 30666829. The reversal of 30666816 is 61866603.

It is an interprime number because it is at equal distance from previous prime (30666803) and next prime (30666829).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7146 + ... + 10601.

Almost surely, 2^30666816 is an apocalyptic number.

30666816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30666816 is an abundant number, since it is smaller than the sum of its proper divisors (59493024).

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

30666816 is a wasteful number, since it uses less digits than its factorization.

30666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17768 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30666816 is about 5537.7627251445. The cubic root of 30666816 is about 313.0085705037.

The spelling of 30666816 in words is "thirty million, six hundred sixty-six thousand, eight hundred sixteen".