66912000 has 288 divisors, whose sum is σ = 241061184. Its totient is φ = 16384000.

The previous prime is 66911953. The next prime is 66912011. The reversal of 66912000 is 21966.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631980 + ... + 1632020.

It is an arithmetic number, because the mean of its divisors is an integer number (837018).

Almost surely, 2^66912000 is an apocalyptic number.

66912000 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 66912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

66912000 is an abundant number, since it is smaller than the sum of its proper divisors (174149184).

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

66912000 is a wasteful number, since it uses less digits than its factorization.

66912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 66912000 is about 8179.9755500857. The cubic root of 66912000 is about 405.9769131153.

Adding to 66912000 its reverse (21966), we get a palindrome (66933966).

The spelling of 66912000 in words is "sixty-six million, nine hundred twelve thousand".