30648900 has 108 divisors (see below), whose sum is σ = 93921072. Its totient is φ = 7715520.

The previous prime is 30648899. The next prime is 30648931. The reversal of 30648900 is 984603.

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

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, 108159 + ... + 108441.

Almost surely, 2^30648900 is an apocalyptic number.

30648900 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 30648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46960536).

30648900 is an abundant number, since it is smaller than the sum of its proper divisors (63272172).

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

30648900 is a wasteful number, since it uses less digits than its factorization.

30648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30648900 is about 5536.1448680467. The cubic root of 30648900 is about 312.9476039096.

The spelling of 30648900 in words is "thirty million, six hundred forty-eight thousand, nine hundred".