66767040 has 168 divisors, whose sum is σ = 232989120. Its totient is φ = 17547264.

The previous prime is 66767039. The next prime is 66767047. The reversal of 66767040 is 4076766.

66767040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 66766986 and 66767004.

It is not an unprimeable number, because it can be changed into a prime (66767047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 279241 + ... + 279479.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^66767040 is an apocalyptic number.

66767040 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 66767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494560).

66767040 is an abundant number, since it is smaller than the sum of its proper divisors (166222080).

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

66767040 is a wasteful number, since it uses less digits than its factorization.

66767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66767040 is about 8171.1100837034. The cubic root of 66767040 is about 405.6835279580.

The spelling of 66767040 in words is "sixty-six million, seven hundred sixty-seven thousand, forty".