66987144 has 48 divisors (see below), whose sum is σ = 207342720. Its totient is φ = 19139040.

The previous prime is 66987143. The next prime is 66987199. The reversal of 66987144 is 44178966.

66987144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66987144² = 8974554922553472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66987144.

It is not an unprimeable number, because it can be changed into a prime (66987143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65952 + ... + 66959.

It is an arithmetic number, because the mean of its divisors is an integer number (4319640).

Almost surely, 2^66987144 is an apocalyptic number.

It is an amenable number.

66987144 is an abundant number, since it is smaller than the sum of its proper divisors (140355576).

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

66987144 is a wasteful number, since it uses less digits than its factorization.

66987144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132930 (or 132923 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 66987144 is about 8184.5674290093. The cubic root of 66987144 is about 406.1288306404.

The spelling of 66987144 in words is "sixty-six million, nine hundred eighty-seven thousand, one hundred forty-four".