66210144 has 288 divisors, whose sum is σ = 239065344. Its totient is φ = 15575040.

The previous prime is 66210143. The next prime is 66210149. The reversal of 66210144 is 44101266.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66210143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249222 + ... + 1249274.

It is an arithmetic number, because the mean of its divisors is an integer number (830088).

Almost surely, 2^66210144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119532672).

66210144 is an abundant number, since it is smaller than the sum of its proper divisors (172855200).

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

66210144 is a wasteful number, since it uses less digits than its factorization.

66210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66210144 is about 8136.9615950919. The cubic root of 66210144 is about 404.5524579232.

The spelling of 66210144 in words is "sixty-six million, two hundred ten thousand, one hundred forty-four".