66496000 has 80 divisors (see below), whose sum is σ = 165971520. Its totient is φ = 26572800.

The previous prime is 66495983. The next prime is 66496007. The reversal of 66496000 is 69466.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66496007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63481 + ... + 64519.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^66496000 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 66496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985760).

66496000 is an abundant number, since it is smaller than the sum of its proper divisors (99475520).

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

66496000 is an equidigital number, since it uses as much as digits as its factorization.

66496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 66496000 is about 8154.5079557261. The cubic root of 66496000 is about 405.1338276424.

The spelling of 66496000 in words is "sixty-six million, four hundred ninety-six thousand".