64664600 has 384 divisors, whose sum is σ = 224985600. Its totient is φ = 16588800.

The previous prime is 64664591. The next prime is 64664609. The reversal of 64664600 is 646646.

It is a happy number.

64664600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64664591) and next prime (64664609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64664609) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3403391 + ... + 3403409.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^64664600 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 64664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

64664600 is an abundant number, since it is smaller than the sum of its proper divisors (160321000).

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

64664600 is a wasteful number, since it uses less digits than its factorization.

64664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 64664600 is about 8041.4302210490. The cubic root of 64664600 is about 401.3798181153.

Multiplying 64664600 by its reverse (646646), we get a square (41815104931600 = 6466460²).

64664600 divided by its reverse (646646) gives a square (100 = 10²).

It can be divided in two parts, 646 and 64600, that multiplied together give a square (41731600 = 6460²).

The spelling of 64664600 in words is "sixty-four million, six hundred sixty-four thousand, six hundred".