66833640 has 128 divisors (see below), whose sum is σ = 234576000. Its totient is φ = 16879104.

The previous prime is 66833633. The next prime is 66833717. The reversal of 66833640 is 4633866.

66833640 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 3 + 640 = 666.

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 = 66833595 and 66833604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18892 + ... + 22148.

It is an arithmetic number, because the mean of its divisors is an integer number (1832625).

Almost surely, 2^66833640 is an apocalyptic number.

66833640 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 66833640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117288000).

66833640 is an abundant number, since it is smaller than the sum of its proper divisors (167742360).

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

66833640 is a wasteful number, since it uses less digits than its factorization.

66833640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66833640 is about 8175.1844015900. The cubic root of 66833640 is about 405.8183726573.

The spelling of 66833640 in words is "sixty-six million, eight hundred thirty-three thousand, six hundred forty".