65684736 has 288 divisors, whose sum is σ = 226638720. Its totient is φ = 18579456.

The previous prime is 65684701. The next prime is 65684737. The reversal of 65684736 is 63748656.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 65684691 and 65684700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65684737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527531 + ... + 1527573.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 2^65684736 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 65684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

65684736 is an abundant number, since it is smaller than the sum of its proper divisors (160953984).

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

65684736 is a wasteful number, since it uses less digits than its factorization.

65684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 65684736 is about 8104.6120203252. The cubic root of 65684736 is about 403.4795114042.

The spelling of 65684736 in words is "sixty-five million, six hundred eighty-four thousand, seven hundred thirty-six".