66884040 has 48 divisors (see below), whose sum is σ = 217374300. Its totient is φ = 17835648.

The previous prime is 66884033. The next prime is 66884057. The reversal of 66884040 is 4048866.

It can be written as a sum of positive squares in 2 ways, for example, as 66879684 + 4356 = 8178^2 + 66^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 66883986 and 66884004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92535 + ... + 93254.

Almost surely, 2^66884040 is an apocalyptic number.

66884040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66884040 is an abundant number, since it is smaller than the sum of its proper divisors (150490260).

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

66884040 is a wasteful number, since it uses less digits than its factorization.

66884040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185806 (or 185799 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66884040 is about 8178.2663199483. The cubic root of 66884040 is about 405.9203577594.

The spelling of 66884040 in words is "sixty-six million, eight hundred eighty-four thousand, forty".