66057360 has 80 divisors (see below), whose sum is σ = 211861440. Its totient is φ = 17006080.

The previous prime is 66057337. The next prime is 66057367. The reversal of 66057360 is 6375066.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (66057367) 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, 2215 + ... + 11705.

It is an arithmetic number, because the mean of its divisors is an integer number (2648268).

Almost surely, 2^66057360 is an apocalyptic number.

66057360 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 66057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105930720).

66057360 is an abundant number, since it is smaller than the sum of its proper divisors (145804080).

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

66057360 is a wasteful number, since it uses less digits than its factorization.

66057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 66057360 is about 8127.5679019003. The cubic root of 66057360 is about 404.2410416615.

The spelling of 66057360 in words is "sixty-six million, fifty-seven thousand, three hundred sixty".