64804800 has 168 divisors, whose sum is σ = 222235776. Its totient is φ = 16501760.

The previous prime is 64804781. The next prime is 64804807. The reversal of 64804800 is 840846.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64804807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110107 + ... + 110693.

It is an arithmetic number, because the mean of its divisors is an integer number (1322832).

Almost surely, 2^64804800 is an apocalyptic number.

64804800 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 64804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111117888).

64804800 is an abundant number, since it is smaller than the sum of its proper divisors (157430976).

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

64804800 is a wasteful number, since it uses less digits than its factorization.

64804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 64804800 is about 8050.1428558753. The cubic root of 64804800 is about 401.6696873296.

The spelling of 64804800 in words is "sixty-four million, eight hundred four thousand, eight hundred".