64004820 has 96 divisors (see below), whose sum is σ = 200866176. Its totient is φ = 15091200.

The previous prime is 64004803. The next prime is 64004821. The reversal of 64004820 is 2840046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64004821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23110 + ... + 25730.

It is an arithmetic number, because the mean of its divisors is an integer number (2092356).

Almost surely, 2^64004820 is an apocalyptic number.

64004820 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 64004820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100433088).

64004820 is an abundant number, since it is smaller than the sum of its proper divisors (136861356).

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

64004820 is a wasteful number, since it uses less digits than its factorization.

64004820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64004820 is about 8000.3012443282. The cubic root of 64004820 is about 400.0100414146.

Adding to 64004820 its reverse (2840046), we get a palindrome (66844866).

The spelling of 64004820 in words is "sixty-four million, four thousand, eight hundred twenty".