66988800 has 162 divisors, whose sum is σ = 239706012. Its totient is φ = 17848320.

The previous prime is 66988783. The next prime is 66988807. The reversal of 66988800 is 888966.

66988800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66988807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57019 + ... + 58181.

Almost surely, 2^66988800 is an apocalyptic number.

66988800 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 66988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119853006).

66988800 is an abundant number, since it is smaller than the sum of its proper divisors (172717212).

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

66988800 is a wasteful number, since it uses less digits than its factorization.

66988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 66988800 is about 8184.6685943904. The cubic root of 66988800 is about 406.1321772716.

The spelling of 66988800 in words is "sixty-six million, nine hundred eighty-eight thousand, eight hundred".