66573360 has 480 divisors, whose sum is σ = 290070720. Its totient is φ = 13934592.

The previous prime is 66573313. The next prime is 66573361. The reversal of 66573360 is 6337566.

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 (66573361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1799262 + ... + 1799298.

It is an arithmetic number, because the mean of its divisors is an integer number (604314).

Almost surely, 2^66573360 is an apocalyptic number.

66573360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66573360 is the 4080-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145035360).

66573360 is an abundant number, since it is smaller than the sum of its proper divisors (223497360).

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

66573360 is a wasteful number, since it uses less digits than its factorization.

66573360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 66573360 is about 8159.2499655299. The cubic root of 66573360 is about 405.2908747174.

The spelling of 66573360 in words is "sixty-six million, five hundred seventy-three thousand, three hundred sixty".