64611200 has 96 divisors (see below), whose sum is σ = 162716520. Its totient is φ = 25344000.

The previous prime is 64611199. The next prime is 64611227. The reversal of 64611200 is 211646.

It is a happy number.

64611200 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 (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 195035 + ... + 195365.

Almost surely, 2^64611200 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 64611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81358260).

64611200 is an abundant number, since it is smaller than the sum of its proper divisors (98105320).

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

64611200 is a wasteful number, since it uses less digits than its factorization.

64611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 64611200 is about 8038.1092304098. The cubic root of 64611200 is about 401.2693012587.

Adding to 64611200 its reverse (211646), we get a palindrome (64822846).

The spelling of 64611200 in words is "sixty-four million, six hundred eleven thousand, two hundred".