66360 has 64 divisors (see below), whose sum is σ = 230400. Its totient is φ = 14976.

The previous prime is 66359. The next prime is 66361. The reversal of 66360 is 6366.

It is an interprime number because it is at equal distance from previous prime (66359) and next prime (66361).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361) 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, 801 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁶⁶³⁶⁰ is an apocalyptic number.

66360 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 66360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

66360 is an abundant number, since it is smaller than the sum of its proper divisors (164040).

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

66360 is a wasteful number, since it uses less digits than its factorization.

66360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66360 is about 257.6043477894. The cubic root of 66360 is about 40.4857441062.

66360 divided by its sum of digits (21) gives a triangular number (3160 = T₇₉).

The spelling of 66360 in words is "sixty-six thousand, three hundred sixty".