66810960 has 80 divisors (see below), whose sum is σ = 230134080. Its totient is φ = 17815680.

The previous prime is 66810959. The next prime is 66810967. The reversal of 66810960 is 6901866.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×66810960² = 8927408752243200, 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 (66810967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13306 + ... + 17625.

It is an arithmetic number, because the mean of its divisors is an integer number (2876676).

Almost surely, 2^66810960 is an apocalyptic number.

66810960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66810960 is an abundant number, since it is smaller than the sum of its proper divisors (163323120).

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

66810960 is a wasteful number, since it uses less digits than its factorization.

66810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30953 (or 30941 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66810960 is about 8173.7971592155. The cubic root of 66810960 is about 405.7724626335.

It can be divided in two parts, 668 and 10960, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 66810960 in words is "sixty-six million, eight hundred ten thousand, nine hundred sixty".