30196800 has 210 divisors, whose sum is σ = 111472218. Its totient is φ = 8017920.

The previous prime is 30196783. The next prime is 30196807. The reversal of 30196800 is 869103.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 29942784 = 504^2 + 5472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30196807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129484 + ... + 129716.

Almost surely, 2^30196800 is an apocalyptic number.

30196800 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 30196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55736109).

30196800 is an abundant number, since it is smaller than the sum of its proper divisors (81275418).

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

30196800 is a wasteful number, since it uses less digits than its factorization.

30196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30196800 is about 5495.1615080905. The cubic root of 30196800 is about 311.4012184344.

The spelling of 30196800 in words is "thirty million, one hundred ninety-six thousand, eight hundred".