66395340 has 72 divisors (see below), whose sum is σ = 219714768. Its totient is φ = 16095360.

The previous prime is 66395339. The next prime is 66395341. The reversal of 66395340 is 4359366.

66395340 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66395339) and next prime (66395341).

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

66395340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 66395295 and 66395304.

It is not an unprimeable number, because it can be changed into a prime (66395341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14787 + ... + 18746.

It is an arithmetic number, because the mean of its divisors is an integer number (3051594).

Almost surely, 2^66395340 is an apocalyptic number.

66395340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66395340 is an abundant number, since it is smaller than the sum of its proper divisors (153319428).

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

66395340 is a wasteful number, since it uses less digits than its factorization.

66395340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33559 (or 33554 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 66395340 is about 8148.3335719643. Note that the first 3 decimals coincide. The cubic root of 66395340 is about 404.9292972143.

The spelling of 66395340 in words is "sixty-six million, three hundred ninety-five thousand, three hundred forty".