64216400 has 30 divisors (see below), whose sum is σ = 154280862. Its totient is φ = 25686400.

The previous prime is 64216387. The next prime is 64216403. The reversal of 64216400 is 461246.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6091024 + 58125376 = 2468^2 + 7624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64216403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79871 + ... + 80670.

Almost surely, 2^64216400 is an apocalyptic number.

It is an amenable number.

64216400 is an abundant number, since it is smaller than the sum of its proper divisors (90064462).

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

64216400 is a wasteful number, since it uses less digits than its factorization.

64216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160559 (or 160548 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 64216400 is about 8013.5135864364. The cubic root of 64216400 is about 400.4503261590.

Adding to 64216400 its reverse (461246), we get a palindrome (64677646).

It can be divided in two parts, 6421 and 6400, that added together give a palindrome (12821).

The spelling of 64216400 in words is "sixty-four million, two hundred sixteen thousand, four hundred".