66044160 has 540 divisors, whose sum is σ = 296046828. Its totient is φ = 13934592.

The previous prime is 66044159. The next prime is 66044183. The reversal of 66044160 is 6144066.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 49787136 = 4032^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080314 + ... + 5080326.

Almost surely, 2^66044160 is an apocalyptic number.

66044160 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 66044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148023414).

66044160 is an abundant number, since it is smaller than the sum of its proper divisors (230002668).

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

66044160 is a wasteful number, since it uses less digits than its factorization.

66044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66044160 is about 8126.7558102849. The cubic root of 66044160 is about 404.2141138662.

66044160 divided by its product of nonzero digits (3456) gives a triangular number (19110 = T₁₉₅).

The spelling of 66044160 in words is "sixty-six million, forty-four thousand, one hundred sixty".