65919648 has 48 divisors (see below), whose sum is σ = 174847680. Its totient is φ = 21743616.

The previous prime is 65919647. The next prime is 65919649. The reversal of 65919648 is 84691956.

It is an interprime number because it is at equal distance from previous prime (65919647) and next prime (65919649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 65919597 and 65919606.

It is not an unprimeable number, because it can be changed into a prime (65919647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (3642660).

Almost surely, 2^65919648 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 65919648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87423840).

65919648 is an abundant number, since it is smaller than the sum of its proper divisors (108928032).

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

65919648 is a wasteful number, since it uses less digits than its factorization.

65919648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7181 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 65919648 is about 8119.0915748007. The cubic root of 65919648 is about 403.9599345949.

The spelling of 65919648 in words is "sixty-five million, nine hundred nineteen thousand, six hundred forty-eight".