66938144 has 96 divisors (see below), whose sum is σ = 164376576. Its totient is φ = 26127360.

The previous prime is 66938141. The next prime is 66938147. The reversal of 66938144 is 44183966.

It is an interprime number because it is at equal distance from previous prime (66938141) and next prime (66938147).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66938141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369734 + ... + 369914.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2^66938144 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 66938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188288).

66938144 is an abundant number, since it is smaller than the sum of its proper divisors (97438432).

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

66938144 is a wasteful number, since it uses less digits than its factorization.

66938144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 66938144 is about 8181.5734428043. The cubic root of 66938144 is about 406.0297809534.

The spelling of 66938144 in words is "sixty-six million, nine hundred thirty-eight thousand, one hundred forty-four".