66965000 has 80 divisors (see below), whose sum is σ = 160261200. Its totient is φ = 26216000.

The previous prime is 66964993. The next prime is 66965011. The reversal of 66965000 is 56966.

It is a super-2 number, since 2×66965000² = 8968622450000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 294887 + ... + 295113.

It is an arithmetic number, because the mean of its divisors is an integer number (2003265).

Almost surely, 2^66965000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80130600).

66965000 is an abundant number, since it is smaller than the sum of its proper divisors (93296200).

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

66965000 is a wasteful number, since it uses less digits than its factorization.

66965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 66965000 is about 8183.2145273114. The cubic root of 66965000 is about 406.0840742516.

The spelling of 66965000 in words is "sixty-six million, nine hundred sixty-five thousand".