66090144 has 48 divisors (see below), whose sum is σ = 173910240. Its totient is φ = 21976320.

The previous prime is 66090139. The next prime is 66090149. The reversal of 66090144 is 44109066.

It is an interprime number because it is at equal distance from previous prime (66090139) and next prime (66090149).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (66090149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67579 + ... + 68549.

It is an arithmetic number, because the mean of its divisors is an integer number (3623130).

Almost surely, 2^66090144 is an apocalyptic number.

It is an amenable number.

66090144 is an abundant number, since it is smaller than the sum of its proper divisors (107820096).

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

66090144 is a wasteful number, since it uses less digits than its factorization.

66090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66090144 is about 8129.5844912271. The cubic root of 66090144 is about 404.3079049982.

The spelling of 66090144 in words is "sixty-six million, ninety thousand, one hundred forty-four".