66006360 has 128 divisors (see below), whose sum is σ = 251481600. Its totient is φ = 15085440.

The previous prime is 66006341. The next prime is 66006371. The reversal of 66006360 is 6360066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195 + ... + 11925.

It is an arithmetic number, because the mean of its divisors is an integer number (1964700).

Almost surely, 2^66006360 is an apocalyptic number.

66006360 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 66006360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125740800).

66006360 is an abundant number, since it is smaller than the sum of its proper divisors (185475240).

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

66006360 is a wasteful number, since it uses less digits than its factorization.

66006360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66006360 is about 8124.4298261478. The cubic root of 66006360 is about 404.1369825981.

It can be divided in two parts, 66006 and 360, that added together give a palindrome (66366).

The spelling of 66006360 in words is "sixty-six million, six thousand, three hundred sixty".