64944000 has 384 divisors, whose sum is σ = 260638560. Its totient is φ = 15360000.

The previous prime is 64943999. The next prime is 64944001. The reversal of 64944000 is 44946.

It is an interprime number because it is at equal distance from previous prime (64943999) and next prime (64944001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64944001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583980 + ... + 1584020.

Almost surely, 2^64944000 is an apocalyptic number.

64944000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

64944000 is an abundant number, since it is smaller than the sum of its proper divisors (195694560).

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

64944000 is a wasteful number, since it uses less digits than its factorization.

64944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64944000 is about 8058.7840273828. The cubic root of 64944000 is about 401.9570756871.

Adding to 64944000 its reverse (44946), we get a palindrome (64988946).

The spelling of 64944000 in words is "sixty-four million, nine hundred forty-four thousand".