66015360 has 192 divisors, whose sum is σ = 232553880. Its totient is φ = 17252352.

The previous prime is 66015353. The next prime is 66015361. The reversal of 66015360 is 6351066.

66015360 is a `hidden beast` number, since 6 + 601 + 53 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48776256 + 17239104 = 6984^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66015361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420402 + ... + 420558.

Almost surely, 2^66015360 is an apocalyptic number.

66015360 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 66015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116276940).

66015360 is an abundant number, since it is smaller than the sum of its proper divisors (166538520).

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

66015360 is a wasteful number, since it uses less digits than its factorization.

66015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66015360 is about 8124.9836922913. The cubic root of 66015360 is about 404.1553498561.

The spelling of 66015360 in words is "sixty-six million, fifteen thousand, three hundred sixty".