66789000 has 192 divisors, whose sum is σ = 232530480. Its totient is φ = 17280000.

The previous prime is 66788999. The next prime is 66789029. The reversal of 66789000 is 98766.

It can be written as a sum of positive squares in 8 ways, for example, as 12236004 + 54552996 = 3498^2 + 7386^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368910 + ... + 369090.

Almost surely, 2^66789000 is an apocalyptic number.

66789000 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 66789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116265240).

66789000 is an abundant number, since it is smaller than the sum of its proper divisors (165741480).

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

66789000 is a wasteful number, since it uses less digits than its factorization.

66789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 66789000 is about 8172.4537318972. The cubic root of 66789000 is about 405.7280001693.

The spelling of 66789000 in words is "sixty-six million, seven hundred eighty-nine thousand".