30638664 has 192 divisors, whose sum is σ = 102435840. Its totient is φ = 8087040.

The previous prime is 30638617. The next prime is 30638681. The reversal of 30638664 is 46683603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578062 + ... + 578114.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 2^30638664 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 30638664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51217920).

30638664 is an abundant number, since it is smaller than the sum of its proper divisors (71797176).

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

30638664 is a wasteful number, since it uses less digits than its factorization.

30638664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 30638664 is about 5535.2203208183. The cubic root of 30638664 is about 312.9127610240.

The spelling of 30638664 in words is "thirty million, six hundred thirty-eight thousand, six hundred sixty-four".