30645900 has 108 divisors (see below), whose sum is σ = 101759112. Its totient is φ = 7687680.

The previous prime is 30645877. The next prime is 30645907. The reversal of 30645900 is 954603.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30645907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14299 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (942214).

Almost surely, 2^30645900 is an apocalyptic number.

30645900 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 30645900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50879556).

30645900 is an abundant number, since it is smaller than the sum of its proper divisors (71113212).

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

30645900 is a wasteful number, since it uses less digits than its factorization.

30645900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30645900 is about 5535.8739147491. The cubic root of 30645900 is about 312.9373928477.

The spelling of 30645900 in words is "thirty million, six hundred forty-five thousand, nine hundred".