64524000 has 192 divisors, whose sum is σ = 223292160. Its totient is φ = 16243200.

The previous prime is 64523999. The next prime is 64524007. The reversal of 64524000 is 42546.

It is a happy number.

64524000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64524007) 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 31 ways as a sum of consecutive naturals, for example, 227859 + ... + 228141.

It is an arithmetic number, because the mean of its divisors is an integer number (1162980).

Almost surely, 2^64524000 is an apocalyptic number.

64524000 is a gapful number since it is divisible by the number (60) 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 64524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

64524000 is an abundant number, since it is smaller than the sum of its proper divisors (158768160).

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

64524000 is a wasteful number, since it uses less digits than its factorization.

64524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 64524000 is about 8032.6832378726. The cubic root of 64524000 is about 401.0887008047.

Adding to 64524000 its reverse (42546), we get a palindrome (64566546).

The spelling of 64524000 in words is "sixty-four million, five hundred twenty-four thousand".