66855360 has 224 divisors, whose sum is σ = 249887232. Its totient is φ = 14929920.

The previous prime is 66855317. The next prime is 66855361. The reversal of 66855360 is 6355866.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66855361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137037 + ... + 137523.

It is an arithmetic number, because the mean of its divisors is an integer number (1115568).

Almost surely, 2^66855360 is an apocalyptic number.

66855360 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 66855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124943616).

66855360 is an abundant number, since it is smaller than the sum of its proper divisors (183031872).

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

66855360 is a wasteful number, since it uses less digits than its factorization.

66855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 66855360 is about 8176.5127040811. The cubic root of 66855360 is about 405.8623296644.

The spelling of 66855360 in words is "sixty-six million, eight hundred fifty-five thousand, three hundred sixty".