64060800 has 96 divisors (see below), whose sum is σ = 211031880. Its totient is φ = 17080320.

The previous prime is 64060781. The next prime is 64060817. The reversal of 64060800 is 806046.

64060800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6264 + ... + 12936.

Almost surely, 2^64060800 is an apocalyptic number.

64060800 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 64060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105515940).

64060800 is an abundant number, since it is smaller than the sum of its proper divisors (146971080).

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

64060800 is a wasteful number, since it uses less digits than its factorization.

64060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64060800 is about 8003.7990979284. The cubic root of 64060800 is about 400.1266265767.

Adding to 64060800 its reverse (806046), we get a palindrome (64866846).

The spelling of 64060800 in words is "sixty-four million, sixty thousand, eight hundred".