64300320 has 144 divisors (see below), whose sum is σ = 250810560. Its totient is φ = 14694912.

The previous prime is 64300309. The next prime is 64300331. The reversal of 64300320 is 2300346.

64300320 is a `hidden beast` number, since 643 + 0 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (64300309) and next prime (64300331).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 64300293 and 64300302.

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 23 ways as a sum of consecutive naturals, for example, 6891 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (1741740).

Almost surely, 2^64300320 is an apocalyptic number.

64300320 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 64300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125405280).

64300320 is an abundant number, since it is smaller than the sum of its proper divisors (186510240).

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

64300320 is a wasteful number, since it uses less digits than its factorization.

64300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 64300320 is about 8018.7480319561. The cubic root of 64300320 is about 400.6246905630.

Adding to 64300320 its reverse (2300346), we get a palindrome (66600666).

It can be divided in two parts, 64300 and 320, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 64300320 in words is "sixty-four million, three hundred thousand, three hundred twenty".