64345600 has 120 divisors (see below), whose sum is σ = 174294648. Its totient is φ = 23347200.

The previous prime is 64345583. The next prime is 64345637. The reversal of 64345600 is 654346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140572 + ... + 141028.

Almost surely, 2^64345600 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 64345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87147324).

64345600 is an abundant number, since it is smaller than the sum of its proper divisors (109949048).

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

64345600 is a wasteful number, since it uses less digits than its factorization.

64345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 64345600 is about 8021.5709184673. The cubic root of 64345600 is about 400.7187078741.

Adding to 64345600 its reverse (654346), we get a palindrome (64999946).

The spelling of 64345600 in words is "sixty-four million, three hundred forty-five thousand, six hundred".