64215200 has 72 divisors (see below), whose sum is σ = 179176032. Its totient is φ = 22014720.

The previous prime is 64215197. The next prime is 64215223. The reversal of 64215200 is 251246.

It is a happy number.

64215200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64215200² = 8247183822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 134 + ... + 11333.

It is an arithmetic number, because the mean of its divisors is an integer number (2488556).

Almost surely, 2^64215200 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 64215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89588016).

64215200 is an abundant number, since it is smaller than the sum of its proper divisors (114960832).

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

64215200 is a wasteful number, since it uses less digits than its factorization.

64215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 64215200 is about 8013.4387125628. The cubic root of 64215200 is about 400.4478317630.

Adding to 64215200 its reverse (251246), we get a palindrome (64466446).

The spelling of 64215200 in words is "sixty-four million, two hundred fifteen thousand, two hundred".