65077056 has 84 divisors (see below), whose sum is σ = 203508864. Its totient is φ = 19718400.

The previous prime is 65077049. The next prime is 65077069.

65077056 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65077056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201 + ... + 11471.

Almost surely, 2^65077056 is an apocalyptic number.

65077056 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 65077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101754432).

65077056 is an abundant number, since it is smaller than the sum of its proper divisors (138431808).

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

65077056 is a wasteful number, since it uses less digits than its factorization.

65077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10300 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 65077056 is about 8067.0351430994. The cubic root of 65077056 is about 402.2313957030.

The spelling of 65077056 in words is "sixty-five million, seventy-seven thousand, fifty-six".