66360960 has 192 divisors, whose sum is σ = 235577160. Its totient is φ = 17203200.

The previous prime is 66360947. The next prime is 66360971. The reversal of 66360960 is 6906366.

66360960 is a nontrivial binomial coefficient, being equal to C(11521, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 24681024 = 6456^2 + 4968^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236020 + ... + 236300.

Almost surely, 2^66360960 is an apocalyptic number.

66360960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66360960 is the 11520-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117788580).

66360960 is an abundant number, since it is smaller than the sum of its proper divisors (169216200).

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

66360960 is a wasteful number, since it uses less digits than its factorization.

66360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 66360960 is about 8146.2236649874. The cubic root of 66360960 is about 404.8593933485.

The spelling of 66360960 in words is "sixty-six million, three hundred sixty thousand, nine hundred sixty".