66083940 has 144 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 15724800.

The previous prime is 66083921. The next prime is 66083959. The reversal of 66083940 is 4938066.

66083940 is a `hidden beast` number, since 6 + 608 + 3 + 9 + 40 = 666.

66083940 is digitally balanced in base 2, 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 (66083921) and next prime (66083959).

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 = 66083895 and 66083904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72085 + ... + 72995.

It is an arithmetic number, because the mean of its divisors is an integer number (1549184).

Almost surely, 2^66083940 is an apocalyptic number.

66083940 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 66083940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

66083940 is an abundant number, since it is smaller than the sum of its proper divisors (156998556).

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

66083940 is a wasteful number, since it uses less digits than its factorization.

66083940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66083940 is about 8129.2029129552. The cubic root of 66083940 is about 404.2952535670.

The spelling of 66083940 in words is "sixty-six million, eighty-three thousand, nine hundred forty".