64846080 has 216 divisors, whose sum is σ = 242177208. Its totient is φ = 15925248.

The previous prime is 64846063. The next prime is 64846081. The reversal of 64846080 is 8064846.

64846080 is a `hidden beast` number, since 6 + 48 + 4 + 608 + 0 = 666.

64846080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 64256256 = 768^2 + 8016^2 .

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 (64846081) 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 23 ways as a sum of consecutive naturals, for example, 149544 + ... + 149976.

Almost surely, 2^64846080 is an apocalyptic number.

64846080 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 64846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121088604).

64846080 is an abundant number, since it is smaller than the sum of its proper divisors (177331128).

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

64846080 is a wasteful number, since it uses less digits than its factorization.

64846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64846080 is about 8052.7063773616. The cubic root of 64846080 is about 401.7549557321.

The spelling of 64846080 in words is "sixty-four million, eight hundred forty-six thousand, eighty".