66444000 has 288 divisors, whose sum is σ = 255449376. Its totient is φ = 15052800.

The previous prime is 66443999. The next prime is 66444011. The reversal of 66444000 is 44466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587944 + ... + 588056.

It is an arithmetic number, because the mean of its divisors is an integer number (886977).

Almost surely, 2^66444000 is an apocalyptic number.

66444000 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 66444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724688).

66444000 is an abundant number, since it is smaller than the sum of its proper divisors (189005376).

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

66444000 is a wasteful number, since it uses less digits than its factorization.

66444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66444000 is about 8151.3189116854. The cubic root of 66444000 is about 405.0281949583.

Adding to 66444000 its reverse (44466), we get a palindrome (66488466).

The spelling of 66444000 in words is "sixty-six million, four hundred forty-four thousand".