66705400 has 48 divisors (see below), whose sum is σ = 157746600. Its totient is φ = 26225280.

The previous prime is 66705389. The next prime is 66705403. The reversal of 66705400 is 450766.

It is a super-2 number, since 2×66705400² = 8899220778320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66705403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8974 + ... + 14626.

Almost surely, 2^66705400 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 66705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78873300).

66705400 is an abundant number, since it is smaller than the sum of its proper divisors (91041200).

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

66705400 is a wasteful number, since it uses less digits than its factorization.

66705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 66705400 is about 8167.3373874231. The cubic root of 66705400 is about 405.5586458206.

The spelling of 66705400 in words is "sixty-six million, seven hundred five thousand, four hundred".