65826816 has 104 divisors (see below), whose sum is σ = 191865984. Its totient is φ = 19906560.

The previous prime is 65826809. The next prime is 65826821. The reversal of 65826816 is 61862856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134925 + ... + 135411.

Almost surely, 2^65826816 is an apocalyptic number.

65826816 is a gapful number since it is divisible by the number (66) 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 65826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95932992).

65826816 is an abundant number, since it is smaller than the sum of its proper divisors (126039168).

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

65826816 is a wasteful number, since it uses less digits than its factorization.

65826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 65826816 is about 8113.3726649279. The cubic root of 65826816 is about 403.7702186452.

The spelling of 65826816 in words is "sixty-five million, eight hundred twenty-six thousand, eight hundred sixteen".