30320640 has 288 divisors, whose sum is σ = 122653440. Its totient is φ = 6782976.

The previous prime is 30320629. The next prime is 30320651. The reversal of 30320640 is 4602303.

30320640 is a `hidden beast` number, since 3 + 0 + 3 + 20 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (30320629) and next prime (30320651).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645097 + ... + 645143.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^30320640 is an apocalyptic number.

30320640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

30320640 is an abundant number, since it is smaller than the sum of its proper divisors (92332800).

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

30320640 is a wasteful number, since it uses less digits than its factorization.

30320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30320640 is about 5506.4180734848. The cubic root of 30320640 is about 311.8263333312.

Adding to 30320640 its reverse (4602303), we get a palindrome (34922943).

The spelling of 30320640 in words is "thirty million, three hundred twenty thousand, six hundred forty".