64004800 has 84 divisors (see below), whose sum is σ = 159369760. Its totient is φ = 25297920.

The previous prime is 64004777. The next prime is 64004803. The reversal of 64004800 is 840046.

It is a super-2 number, since 2×64004800² = 8193228846080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64004803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174217 + ... + 174583.

Almost surely, 2^64004800 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 64004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79684880).

64004800 is an abundant number, since it is smaller than the sum of its proper divisors (95364960).

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

64004800 is a wasteful number, since it uses less digits than its factorization.

64004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 64004800 is about 8000.2999943752. The cubic root of 64004800 is about 400.0099997500.

Adding to 64004800 its reverse (840046), we get a palindrome (64844846).

The spelling of 64004800 in words is "sixty-four million, four thousand, eight hundred".