64155200 has 84 divisors (see below), whose sum is σ = 159826452. Its totient is φ = 25344000.

The previous prime is 64155173. The next prime is 64155209. The reversal of 64155200 is 255146.

64155200 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 6 ways, for example, as 3564544 + 60590656 = 1888^2 + 7784^2 .

It is not an unprimeable number, because it can be changed into a prime (64155209) 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, 161402 + ... + 161798.

Almost surely, 2^64155200 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 64155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79913226).

64155200 is an abundant number, since it is smaller than the sum of its proper divisors (95671252).

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

64155200 is a wasteful number, since it uses less digits than its factorization.

64155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 64155200 is about 8009.6941264945. The cubic root of 64155200 is about 400.3230723238.

The spelling of 64155200 in words is "sixty-four million, one hundred fifty-five thousand, two hundred".