64213200 has 90 divisors (see below), whose sum is σ = 222850134. Its totient is φ = 17122560.

The previous prime is 64213159. The next prime is 64213211. The reversal of 64213200 is 231246.

It is a happy number.

64213200 is a `hidden beast` number, since 642 + 1 + 3 + 20 + 0 = 666.

64213200 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 3 ways, for example, as 12027024 + 52186176 = 3468^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 5319 + ... + 12518.

Almost surely, 2^64213200 is an apocalyptic number.

64213200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64213200 is an abundant number, since it is smaller than the sum of its proper divisors (158636934).

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

64213200 is a wasteful number, since it uses less digits than its factorization.

64213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17861 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64213200 is about 8013.3139212189. The cubic root of 64213200 is about 400.4436743674.

Adding to 64213200 its reverse (231246), we get a palindrome (64444446).

The spelling of 64213200 in words is "sixty-four million, two hundred thirteen thousand, two hundred".