30664400 has 60 divisors (see below), whose sum is σ = 79351692. Its totient is φ = 11320320.

The previous prime is 30664393. The next prime is 30664409. The reversal of 30664400 is 446603.

It can be written as a sum of positive squares in 6 ways, for example, as 238144 + 30426256 = 488^2 + 5516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252 + ... + 8148.

Almost surely, 2^30664400 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 30664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39675846).

30664400 is an abundant number, since it is smaller than the sum of its proper divisors (48687292).

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

30664400 is a wasteful number, since it uses less digits than its factorization.

30664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 30664400 is about 5537.5445822133. The cubic root of 30664400 is about 313.0003504506. Note that the first 3 decimals are identical.

The spelling of 30664400 in words is "thirty million, six hundred sixty-four thousand, four hundred".