66393360 has 240 divisors, whose sum is σ = 248609088. Its totient is φ = 15744000.

The previous prime is 66393359. The next prime is 66393361. The reversal of 66393360 is 6339366.

It is an interprime number because it is at equal distance from previous prime (66393359) and next prime (66393361).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (66393361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657310 + ... + 657410.

Almost surely, 2^66393360 is an apocalyptic number.

66393360 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 66393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

66393360 is an abundant number, since it is smaller than the sum of its proper divisors (182215728).

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

66393360 is a wasteful number, since it uses less digits than its factorization.

66393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 66393360 is about 8148.2120738233. The cubic root of 66393360 is about 404.9252719921.

It can be divided in two parts, 6639 and 3360, that added together give a palindrome (9999).

The spelling of 66393360 in words is "sixty-six million, three hundred ninety-three thousand, three hundred sixty".