65504000 has 144 divisors (see below), whose sum is σ = 172186560. Its totient is φ = 24780800.

The previous prime is 65503993. The next prime is 65504017. The reversal of 65504000 is 40556.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735956 + ... + 736044.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 2^65504000 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 65504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

65504000 is an abundant number, since it is smaller than the sum of its proper divisors (106682560).

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

65504000 is an equidigital number, since it uses as much as digits as its factorization.

65504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 65504000 is about 8093.4541451719. The cubic root of 65504000 is about 403.1091043950.

Adding to 65504000 its reverse (40556), we get a palindrome (65544556).

The spelling of 65504000 in words is "sixty-five million, five hundred four thousand".