64505600 has 54 divisors (see below), whose sum is σ = 159677280. Its totient is φ = 25799680.

The previous prime is 64505563. The next prime is 64505603. The reversal of 64505600 is 650546.

It is a self number, because there is not a number n which added to its sum of digits gives 64505600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64505603) 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, 1361 + ... + 11439.

Almost surely, 2^64505600 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 64505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838640).

64505600 is an abundant number, since it is smaller than the sum of its proper divisors (95171680).

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

64505600 is a wasteful number, since it uses less digits than its factorization.

64505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 64505600 is about 8031.5378353090. The cubic root of 64505600 is about 401.0505716656.

The spelling of 64505600 in words is "sixty-four million, five hundred five thousand, six hundred".