66488800 has 144 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 22003200.

The previous prime is 66488797. The next prime is 66488803. The reversal of 66488800 is 888466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66488797) and next prime (66488803).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66488803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173409 + ... + 173791.

It is an arithmetic number, because the mean of its divisors is an integer number (1333248).

Almost surely, 2^66488800 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 66488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856).

66488800 is an abundant number, since it is smaller than the sum of its proper divisors (125498912).

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

66488800 is a wasteful number, since it uses less digits than its factorization.

66488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 66488800 is about 8154.0664701730. The cubic root of 66488800 is about 405.1192048639.

The spelling of 66488800 in words is "sixty-six million, four hundred eighty-eight thousand, eight hundred".