66738 has 24 divisors (see below), whose sum is σ = 155952. Its totient is φ = 18984.

The previous prime is 66733. The next prime is 66739. The reversal of 66738 is 83766.

66738 = T₄₂ + T₄₃ + ... + T₇₇.

It is a Smith number, since the sum of its digits (30) 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 (66733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (6498).

2⁶⁶⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77976).

66738 is an abundant number, since it is smaller than the sum of its proper divisors (89214).

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

66738 is a wasteful number, since it uses less digits than its factorization.

66738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 66738 is about 258.3369892214. The cubic root of 66738 is about 40.5624702735.

The spelling of 66738 in words is "sixty-six thousand, seven hundred thirty-eight".