30564040 has 64 divisors (see below), whose sum is σ = 75524400. Its totient is φ = 11062272.

The previous prime is 30564031. The next prime is 30564041. The reversal of 30564040 is 4046503.

It can be written as a sum of positive squares in 8 ways, for example, as 2748964 + 27815076 = 1658^2 + 5274^2 .

It is a super-2 number, since 2×30564040² = 1868321082243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30564041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27006 + ... + 28114.

Almost surely, 2^30564040 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 30564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37762200).

30564040 is an abundant number, since it is smaller than the sum of its proper divisors (44960360).

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

30564040 is a wasteful number, since it uses less digits than its factorization.

30564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 30564040 is about 5528.4753775340. The cubic root of 30564040 is about 312.6585094523.

The spelling of 30564040 in words is "thirty million, five hundred sixty-four thousand, forty".