30638960 has 80 divisors (see below), whose sum is σ = 79896672. Its totient is φ = 10828800.

The previous prime is 30638953. The next prime is 30638969. The reversal of 30638960 is 6983603.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30638960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30638969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32090 + ... + 33030.

Almost surely, 2^30638960 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 30638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39948336).

30638960 is an abundant number, since it is smaller than the sum of its proper divisors (49257712).

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

30638960 is a wasteful number, since it uses less digits than its factorization.

30638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 30638960 is about 5535.2470586235. The cubic root of 30638960 is about 312.9137687037.

The spelling of 30638960 in words is "thirty million, six hundred thirty-eight thousand, nine hundred sixty".