64852000 has 96 divisors (see below), whose sum is σ = 164795904. Its totient is φ = 25056000.

The previous prime is 64851989. The next prime is 64852013. The reversal of 64852000 is 25846.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123739 + ... + 124261.

It is an arithmetic number, because the mean of its divisors is an integer number (1716624).

Almost surely, 2^64852000 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 64852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82397952).

64852000 is an abundant number, since it is smaller than the sum of its proper divisors (99943904).

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

64852000 is a wasteful number, since it uses less digits than its factorization.

64852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 64852000 is about 8053.0739472577. The cubic root of 64852000 is about 401.7671811792.

Adding to 64852000 its reverse (25846), we get a palindrome (64877846).

The spelling of 64852000 in words is "sixty-four million, eight hundred fifty-two thousand".