66768035 has 16 divisors (see below), whose sum is σ = 83043840. Its totient is φ = 51498720.

The previous prime is 66768029. The next prime is 66768041. The reversal of 66768035 is 53086766.

It is an interprime number because it is at equal distance from previous prime (66768029) and next prime (66768041).

It is not a de Polignac number, because 66768035 - 2¹⁴ = 66751651 is a prime.

It is a super-2 number, since 2×66768035² = 8915940995522450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66767983 and 66768001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15020 + ... + 18950.

It is an arithmetic number, because the mean of its divisors is an integer number (5190240).

Almost surely, 2^66768035 is an apocalyptic number.

66768035 is a deficient number, since it is larger than the sum of its proper divisors (16275805).

66768035 is a wasteful number, since it uses less digits than its factorization.

66768035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058.

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 66768035 is about 8171.1709687168. The cubic root of 66768035 is about 405.6855431894.

The spelling of 66768035 in words is "sixty-six million, seven hundred sixty-eight thousand, thirty-five".