66705600 has 168 divisors, whose sum is σ = 235905040. Its totient is φ = 16404480.

The previous prime is 66705571. The next prime is 66705601. The reversal of 66705600 is 650766.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66705601) 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, 61866 + ... + 62934.

Almost surely, 2^66705600 is an apocalyptic number.

66705600 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 66705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117952520).

66705600 is an abundant number, since it is smaller than the sum of its proper divisors (169199440).

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

66705600 is a wasteful number, since it uses less digits than its factorization.

66705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 66705600 is about 8167.3496313064. The cubic root of 66705600 is about 405.5590511434.

The spelling of 66705600 in words is "sixty-six million, seven hundred five thousand, six hundred".