66900966 has 32 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 20218080.

The previous prime is 66900961. The next prime is 66900979.

66900966 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66900961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27820 + ... + 30128.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^66900966 is an apocalyptic number.

66900966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66900966 is an abundant number, since it is smaller than the sum of its proper divisors (79460634).

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

66900966 is a wasteful number, since it uses less digits than its factorization.

66900966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 66900966 is about 8179.3010703849. The cubic root of 66900966 is about 405.9545962637.

The spelling of 66900966 in words is "sixty-six million, nine hundred thousand, nine hundred sixty-six".