64967200 has 108 divisors (see below), whose sum is σ = 169079022. Its totient is φ = 24371200.

The previous prime is 64967191. The next prime is 64967237. The reversal of 64967200 is 276946.

64967200 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 9 ways, for example, as 22924944 + 42042256 = 4788^2 + 6484^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 231060 + ... + 231340.

Almost surely, 2^64967200 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 64967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84539511).

64967200 is an abundant number, since it is smaller than the sum of its proper divisors (104111822).

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

64967200 is a wasteful number, since it uses less digits than its factorization.

64967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 64967200 is about 8060.2233219682. The cubic root of 64967200 is about 402.0049338107.

The spelling of 64967200 in words is "sixty-four million, nine hundred sixty-seven thousand, two hundred".