30656000 has 80 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 12236800.

The previous prime is 30655997. The next prime is 30656053. The reversal of 30656000 is 65603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63761 + ... + 64239.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^30656000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

30656000 is an abundant number, since it is smaller than the sum of its proper divisors (45946240).

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

30656000 is an frugal number, since it uses more digits than its factorization.

30656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 30656000 is about 5536.7860713594. The cubic root of 30656000 is about 312.9717674352.

The spelling of 30656000 in words is "thirty million, six hundred fifty-six thousand".