65026528 has 72 divisors (see below), whose sum is σ = 150649632. Its totient is φ = 27546624.

The previous prime is 65026519. The next prime is 65026529. The reversal of 65026528 is 82562056.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65026493 and 65026502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65026529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177001 + ... + 177367.

It is an arithmetic number, because the mean of its divisors is an integer number (2092356).

Almost surely, 2^65026528 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 65026528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75324816).

65026528 is an abundant number, since it is smaller than the sum of its proper divisors (85623104).

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

65026528 is a wasteful number, since it uses less digits than its factorization.

65026528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 65026528 is about 8063.9027771917. The cubic root of 65026528 is about 402.1272667850.

The spelling of 65026528 in words is "sixty-five million, twenty-six thousand, five hundred twenty-eight".