30896640 has 200 divisors, whose sum is σ = 111404700. Its totient is φ = 8183808.

The previous prime is 30896639. The next prime is 30896647. The reversal of 30896640 is 4669803.

30896640 is a `hidden beast` number, since 3 + 0 + 8 + 9 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 2509056 = 5328^2 + 1584^2 .

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 30896595 and 30896604.

It is not an unprimeable number, because it can be changed into a prime (30896647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207286 + ... + 207434.

Almost surely, 2^30896640 is an apocalyptic number.

30896640 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 30896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55702350).

30896640 is an abundant number, since it is smaller than the sum of its proper divisors (80508060).

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

30896640 is an equidigital number, since it uses as much as digits as its factorization.

30896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30896640 is about 5558.4746108982. The cubic root of 30896640 is about 313.7885441237.

The spelling of 30896640 in words is "thirty million, eight hundred ninety-six thousand, six hundred forty".