66382740 has 168 divisors, whose sum is σ = 217594440. Its totient is φ = 16982784.

The previous prime is 66382721. The next prime is 66382741. The reversal of 66382740 is 4728366.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 63011844 = 1836^2 + 7938^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66382695 and 66382704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66382741) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 422742 + ... + 422898.

It is an arithmetic number, because the mean of its divisors is an integer number (1295205).

Almost surely, 2^66382740 is an apocalyptic number.

66382740 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 66382740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108797220).

66382740 is an abundant number, since it is smaller than the sum of its proper divisors (151211700).

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

66382740 is a wasteful number, since it uses less digits than its factorization.

66382740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 66382740 is about 8147.5603710559. The cubic root of 66382740 is about 404.9036807984.

The spelling of 66382740 in words is "sixty-six million, three hundred eighty-two thousand, seven hundred forty".