66958890 has 32 divisors (see below), whose sum is σ = 160920000. Its totient is φ = 17831424.

The previous prime is 66958889. The next prime is 66958891. The reversal of 66958890 is 9885966.

It is an interprime number because it is at equal distance from previous prime (66958889) and next prime (66958891).

It is not an unprimeable number, because it can be changed into a prime (66958891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36577 + ... + 38363.

It is an arithmetic number, because the mean of its divisors is an integer number (5028750).

Almost surely, 2^66958890 is an apocalyptic number.

66958890 is an abundant number, since it is smaller than the sum of its proper divisors (93961110).

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

66958890 is a wasteful number, since it uses less digits than its factorization.

66958890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046.

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 66958890 is about 8182.8411936197. The cubic root of 66958890 is about 406.0717232764.

The spelling of 66958890 in words is "sixty-six million, nine hundred fifty-eight thousand, eight hundred ninety".