64524800 has 90 divisors (see below), whose sum is σ = 162148569. Its totient is φ = 25446400.

The previous prime is 64524799. The next prime is 64524833. The reversal of 64524800 is 842546.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 63234304 + 1290496 = 7952^2 + 1136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5680.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 908765 + ... + 908835.

Almost surely, 2^64524800 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 64524800

64524800 is an abundant number, since it is smaller than the sum of its proper divisors (97623769).

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

64524800 is an frugal number, since it uses more digits than its factorization.

64524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 64524800 is about 8032.7330342792. The cubic root of 64524800 is about 401.0903584289.

The spelling of 64524800 in words is "sixty-four million, five hundred twenty-four thousand, eight hundred".