30199680 has 288 divisors, whose sum is σ = 122442840. Its totient is φ = 6838272.

The previous prime is 30199679. The next prime is 30199691. The reversal of 30199680 is 8699103.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282187 + ... + 282293.

Almost surely, 2^30199680 is an apocalyptic number.

30199680 is a gapful number since it is divisible by the number (30) 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 30199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221420).

30199680 is an abundant number, since it is smaller than the sum of its proper divisors (92243160).

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

30199680 is a wasteful number, since it uses less digits than its factorization.

30199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 30199680 is about 5495.4235505555. The cubic root of 30199680 is about 311.4111180154.

The spelling of 30199680 in words is "thirty million, one hundred ninety-nine thousand, six hundred eighty".