66707280 has 160 divisors (see below), whose sum is σ = 233020800. Its totient is φ = 17538048.

The previous prime is 66707227. The next prime is 66707281. The reversal of 66707280 is 8270766.

It is a super-2 number, since 2×66707280² = 8899722409996800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66707281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192067 + ... + 192413.

It is an arithmetic number, because the mean of its divisors is an integer number (1456380).

Almost surely, 2^66707280 is an apocalyptic number.

66707280 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 66707280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116510400).

66707280 is an abundant number, since it is smaller than the sum of its proper divisors (166313520).

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

66707280 is a wasteful number, since it uses less digits than its factorization.

66707280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 66707280 is about 8167.4524792006. The cubic root of 66707280 is about 405.5624558225.

The spelling of 66707280 in words is "sixty-six million, seven hundred seven thousand, two hundred eighty".