65601000 has 192 divisors, whose sum is σ = 228880080. Its totient is φ = 16934400.

The previous prime is 65600981. The next prime is 65601013. The reversal of 65601000 is 10656.

65601000 is a `hidden beast` number, since 6 + 560 + 100 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29095236 + 36505764 = 5394^2 + 6042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332902 + ... + 333098.

Almost surely, 2^65601000 is an apocalyptic number.

65601000 is a gapful number since it is divisible by the number (60) 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 65601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114440040).

65601000 is an abundant number, since it is smaller than the sum of its proper divisors (163279080).

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

65601000 is a wasteful number, since it uses less digits than its factorization.

65601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65601000 is about 8099.4444253912. Note that the first 4 decimals coincide. The cubic root of 65601000 is about 403.3079843520.

Adding to 65601000 its reverse (10656), we get a palindrome (65611656).

The spelling of 65601000 in words is "sixty-five million, six hundred one thousand".