64786320 has 240 divisors, whose sum is σ = 236770560. Its totient is φ = 15814656.

The previous prime is 64786313. The next prime is 64786321. The reversal of 64786320 is 2368746.

64786320 is a `hidden beast` number, since 647 + 8 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64786321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820041 + ... + 820119.

It is an arithmetic number, because the mean of its divisors is an integer number (986544).

Almost surely, 2^64786320 is an apocalyptic number.

64786320 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 64786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

64786320 is an abundant number, since it is smaller than the sum of its proper divisors (171984240).

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

64786320 is a wasteful number, since it uses less digits than its factorization.

64786320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64786320 is about 8048.9949683175. The cubic root of 64786320 is about 401.6315031133.

Adding to 64786320 its product of nonzero digits (48384), we get a square (64834704 = 8052²).

The spelling of 64786320 in words is "sixty-four million, seven hundred eighty-six thousand, three hundred twenty".