64007856 has 120 divisors (see below), whose sum is σ = 207000144. Its totient is φ = 18247680.

The previous prime is 64007851. The next prime is 64007893. The reversal of 64007856 is 65870046.

It is a happy number.

64007856 is a `hidden beast` number, since 640 + 0 + 7 + 8 + 5 + 6 = 666.

64007856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64007856.

It is not an unprimeable number, because it can be changed into a prime (64007851) 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, 25740 + ... + 28116.

Almost surely, 2^64007856 is an apocalyptic number.

64007856 is a gapful number since it is divisible by the number (66) 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 64007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103500072).

64007856 is an abundant number, since it is smaller than the sum of its proper divisors (142992288).

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

64007856 is a wasteful number, since it uses less digits than its factorization.

64007856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 64007856 is about 8000.4909849334. The cubic root of 64007856 is about 400.0163659970.

The spelling of 64007856 in words is "sixty-four million, seven thousand, eight hundred fifty-six".