66045120 has 112 divisors (see below), whose sum is σ = 212323680. Its totient is φ = 17391616.

The previous prime is 66045103. The next prime is 66045143. The reversal of 66045120 is 2154066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85054 + ... + 85826.

Almost surely, 2^66045120 is an apocalyptic number.

66045120 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 66045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106161840).

66045120 is an abundant number, since it is smaller than the sum of its proper divisors (146278560).

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

66045120 is a wasteful number, since it uses less digits than its factorization.

66045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66045120 is about 8126.8148742296. The cubic root of 66045120 is about 404.2160723723.

Adding to 66045120 its reverse (2154066), we get a palindrome (68199186).

The spelling of 66045120 in words is "sixty-six million, forty-five thousand, one hundred twenty".