40320564 has 48 divisors (see below), whose sum is σ = 98972160. Its totient is φ = 12751200.

The previous prime is 40320563. The next prime is 40320569. The reversal of 40320564 is 46502304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37839 + ... + 38889.

It is an arithmetic number, because the mean of its divisors is an integer number (2061920).

Almost surely, 2^40320564 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 40320564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49486080).

40320564 is an abundant number, since it is smaller than the sum of its proper divisors (58651596).

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

40320564 is a wasteful number, since it uses less digits than its factorization.

40320564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40320564 is about 6349.8475572253. The cubic root of 40320564 is about 342.9063541465.

Adding to 40320564 its reverse (46502304), we get a palindrome (86822868).

The spelling of 40320564 in words is "forty million, three hundred twenty thousand, five hundred sixty-four".