66096000 has 384 divisors, whose sum is σ = 260638560. Its totient is φ = 16588800.

The previous prime is 66095963. The next prime is 66096013. The reversal of 66096000 is 69066.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887992 + ... + 3888008.

Almost surely, 2^66096000 is an apocalyptic number.

66096000 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 66096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

66096000 is an abundant number, since it is smaller than the sum of its proper divisors (194542560).

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

66096000 is an equidigital number, since it uses as much as digits as its factorization.

66096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66096000 is about 8129.9446492581. The cubic root of 66096000 is about 404.3198460483.

The spelling of 66096000 in words is "sixty-six million, ninety-six thousand".