66866304 has 64 divisors (see below), whose sum is σ = 188079840. Its totient is φ = 20975616.

The previous prime is 66866297. The next prime is 66866329. The reversal of 66866304 is 40366866.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×66866304² = 8942205221240832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407 + ... + 11649.

Almost surely, 2^66866304 is an apocalyptic number.

66866304 is a gapful number since it is divisible by the number (64) 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 66866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94039920).

66866304 is an abundant number, since it is smaller than the sum of its proper divisors (121213536).

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

66866304 is a wasteful number, since it uses less digits than its factorization.

66866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10277 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 66866304 is about 8177.1819106585. The cubic root of 66866304 is about 405.8844745605.

The spelling of 66866304 in words is "sixty-six million, eight hundred sixty-six thousand, three hundred four".