65975000 has 192 divisors, whose sum is σ = 196862400. Its totient is φ = 20160000.

The previous prime is 65974999. The next prime is 65975003. The reversal of 65975000 is 57956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65975003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2274986 + ... + 2275014.

It is an arithmetic number, because the mean of its divisors is an integer number (1025325).

Almost surely, 2^65975000 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 65975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

65975000 is an abundant number, since it is smaller than the sum of its proper divisors (130887400).

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

65975000 is a wasteful number, since it uses less digits than its factorization.

65975000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 65975000 is about 8122.4996152662. The cubic root of 65975000 is about 404.0729698604.

The spelling of 65975000 in words is "sixty-five million, nine hundred seventy-five thousand".