30873600 has 216 divisors, whose sum is σ = 112219380. Its totient is φ = 8110080.

The previous prime is 30873599. The next prime is 30873617. The reversal of 30873600 is 637803.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460767 + ... + 460833.

Almost surely, 2^30873600 is an apocalyptic number.

30873600 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 30873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56109690).

30873600 is an abundant number, since it is smaller than the sum of its proper divisors (81345780).

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

30873600 is a wasteful number, since it uses less digits than its factorization.

30873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30873600 is about 5556.4017133393. The cubic root of 30873600 is about 313.7105260836.

The spelling of 30873600 in words is "thirty million, eight hundred seventy-three thousand, six hundred".