66865344 has 224 divisors, whose sum is σ = 225308160. Its totient is φ = 17031168.

The previous prime is 66865343. The next prime is 66865361. The reversal of 66865344 is 44356866.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66865296 and 66865305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66865343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751252 + ... + 751340.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^66865344 is an apocalyptic number.

66865344 is a gapful number since it is divisible by the number (64) 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 66865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

66865344 is an abundant number, since it is smaller than the sum of its proper divisors (158442816).

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

66865344 is a wasteful number, since it uses less digits than its factorization.

66865344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 66865344 is about 8177.1232105185. The cubic root of 66865344 is about 405.8825321224.

The spelling of 66865344 in words is "sixty-six million, eight hundred sixty-five thousand, three hundred forty-four".