30564640 has 72 divisors (see below), whose sum is σ = 76822452. Its totient is φ = 11489280.

The previous prime is 30564629. The next prime is 30564641. The reversal of 30564640 is 4646503.

It can be written as a sum of positive squares in 6 ways, for example, as 25847056 + 4717584 = 5084^2 + 2172^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30564599 and 30564608.

It is not an unprimeable number, because it can be changed into a prime (30564641) 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, 45910 + ... + 46570.

Almost surely, 2^30564640 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 30564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38411226).

30564640 is an abundant number, since it is smaller than the sum of its proper divisors (46257812).

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

30564640 is a wasteful number, since it uses less digits than its factorization.

30564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 30564640 is about 5528.5296417764. The cubic root of 30564640 is about 312.6605553629.

The spelling of 30564640 in words is "thirty million, five hundred sixty-four thousand, six hundred forty".