30885600 has 144 divisors (see below), whose sum is σ = 106586928. Its totient is φ = 7741440.

The previous prime is 30885541. The next prime is 30885601. The reversal of 30885600 is 658803.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30885601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40422 + ... + 41178.

It is an arithmetic number, because the mean of its divisors is an integer number (740187).

Almost surely, 2^30885600 is an apocalyptic number.

30885600 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 30885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53293464).

30885600 is an abundant number, since it is smaller than the sum of its proper divisors (75701328).

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

30885600 is a wasteful number, since it uses less digits than its factorization.

30885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 30885600 is about 5557.4814439636. The cubic root of 30885600 is about 313.7511653211.

The spelling of 30885600 in words is "thirty million, eight hundred eighty-five thousand, six hundred".