66018960 has 120 divisors (see below), whose sum is σ = 253406400. Its totient is φ = 15088896.

The previous prime is 66018949. The next prime is 66018991. The reversal of 66018960 is 6981066.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 1510 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (2111720).

Almost surely, 2^66018960 is an apocalyptic number.

66018960 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 66018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126703200).

66018960 is an abundant number, since it is smaller than the sum of its proper divisors (187387440).

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

66018960 is a wasteful number, since it uses less digits than its factorization.

66018960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66018960 is about 8125.2052281773. The cubic root of 66018960 is about 404.1626962919.

The spelling of 66018960 in words is "sixty-six million, eighteen thousand, nine hundred sixty".