66765060 has 60 divisors (see below), whose sum is σ = 209449548. Its totient is φ = 17803584.

The previous prime is 66765059. The next prime is 66765119. The reversal of 66765060 is 6056766.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 13883076 = 7272^2 + 3726^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18987 + ... + 22226.

Almost surely, 2^66765060 is an apocalyptic number.

66765060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66765060 is an abundant number, since it is smaller than the sum of its proper divisors (142684488).

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

66765060 is a wasteful number, since it uses less digits than its factorization.

66765060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41234 (or 41223 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 66765060 is about 8170.9889242368. The cubic root of 66765060 is about 405.6795176892.

The spelling of 66765060 in words is "sixty-six million, seven hundred sixty-five thousand, sixty".