65041600 has 168 divisors, whose sum is σ = 178582320. Its totient is φ = 23162880.

The previous prime is 65041583. The next prime is 65041601. The reversal of 65041600 is 614056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102371 + ... + 1102429.

It is an arithmetic number, because the mean of its divisors is an integer number (1062990).

Almost surely, 2^65041600 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 65041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89291160).

65041600 is an abundant number, since it is smaller than the sum of its proper divisors (113540720).

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

65041600 is a wasteful number, since it uses less digits than its factorization.

65041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 65041600 is about 8064.8372581224. The cubic root of 65041600 is about 402.1583330495.

Adding to 65041600 its reverse (614056), we get a palindrome (65655656).

It can be divided in two parts, 650 and 41600, that multiplied together give a square (27040000 = 5200²).

The spelling of 65041600 in words is "sixty-five million, forty-one thousand, six hundred".