30664000 has 56 divisors (see below), whose sum is σ = 75959208. Its totient is φ = 12262400.

The previous prime is 30663973. The next prime is 30664001. The reversal of 30664000 is 46603.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 26790976 = 1968^2 + 5176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6084 + ... + 9916.

Almost surely, 2^30664000 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 30664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37979604).

30664000 is an abundant number, since it is smaller than the sum of its proper divisors (45295208).

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

30664000 is an equidigital number, since it uses as much as digits as its factorization.

30664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 30664000 is about 5537.5084650048. The cubic root of 30664000 is about 312.9989894730.

The spelling of 30664000 in words is "thirty million, six hundred sixty-four thousand".