30198816 has 144 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 9326592.

The previous prime is 30198811. The next prime is 30198821. The reversal of 30198816 is 61889103.

It is an interprime number because it is at equal distance from previous prime (30198811) and next prime (30198821).

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

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

It is not an unprimeable number, because it can be changed into a prime (30198811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311280 + ... + 311376.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^30198816 is an apocalyptic number.

30198816 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 30198816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

30198816 is an abundant number, since it is smaller than the sum of its proper divisors (62263008).

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

30198816 is a wasteful number, since it uses less digits than its factorization.

30198816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 30198816 is about 5495.3449391280. The cubic root of 30198816 is about 311.4081482072.

The spelling of 30198816 in words is "thirty million, one hundred ninety-eight thousand, eight hundred sixteen".