66048000 has 208 divisors, whose sum is σ = 224892096. Its totient is φ = 17203200.

The previous prime is 66047987. The next prime is 66048013. The reversal of 66048000 is 84066.

It is an interprime number because it is at equal distance from previous prime (66047987) and next prime (66048013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535979 + ... + 1536021.

It is an arithmetic number, because the mean of its divisors is an integer number (1081212).

Almost surely, 2^66048000 is an apocalyptic number.

66048000 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 66048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112446048).

66048000 is an abundant number, since it is smaller than the sum of its proper divisors (158844096).

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

66048000 is an equidigital number, since it uses as much as digits as its factorization.

66048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66048000 is about 8126.9920634882. The cubic root of 66048000 is about 404.2219477767.

The spelling of 66048000 in words is "sixty-six million, forty-eight thousand".