65969000 has 64 divisors (see below), whose sum is σ = 158230800. Its totient is φ = 25728000.

The previous prime is 65968979. The next prime is 65969017. The reversal of 65969000 is 96956.

It can be written as a sum of positive squares in 8 ways, for example, as 3020644 + 62948356 = 1738^2 + 7934^2 .

It is a super-2 number, since 2×65969000² = 8703817922000000, which contains 22 as substring.

It is a congruent number.

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, 40196 + ... + 41804.

Almost surely, 2^65969000 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 65969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79115400).

65969000 is an abundant number, since it is smaller than the sum of its proper divisors (92261800).

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

65969000 is a wasteful number, since it uses less digits than its factorization.

65969000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 65969000 is about 8122.1302624373. The cubic root of 65969000 is about 404.0607202137.

The spelling of 65969000 in words is "sixty-five million, nine hundred sixty-nine thousand".