64363968 has 84 divisors (see below), whose sum is σ = 186113928. Its totient is φ = 21265920.

The previous prime is 64363961. The next prime is 64363969. The reversal of 64363968 is 86936346.

64363968 is a `hidden beast` number, since 6 + 4 + 3 + 639 + 6 + 8 = 666.

64363968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64363961) by changing a digit.

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, 75030 + ... + 75882.

It is an arithmetic number, because the mean of its divisors is an integer number (2215642).

Almost surely, 2^64363968 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 64363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93056964).

64363968 is an abundant number, since it is smaller than the sum of its proper divisors (121749960).

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

64363968 is a wasteful number, since it uses less digits than its factorization.

64363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 64363968 is about 8022.7157496698. The cubic root of 64363968 is about 400.7568337701.

It can be divided in two parts, 6436 and 3968, that added together give a square (10404 = 102²).

The spelling of 64363968 in words is "sixty-four million, three hundred sixty-three thousand, nine hundred sixty-eight".