966528 has 48 divisors (see below), whose sum is σ = 2784600. Its totient is φ = 321792.

The previous prime is 966527. The next prime is 966547. The reversal of 966528 is 825669.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 966492 and 966501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733 + ... + 1571.

2⁹⁶⁶⁵²⁸ 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 966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392300).

966528 is an abundant number, since it is smaller than the sum of its proper divisors (1818072).

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

966528 is a wasteful number, since it uses less digits than its factorization.

966528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 966528 is about 983.1215591167. The cubic root of 966528 is about 98.8715812734.

The spelling of 966528 in words is "nine hundred sixty-six thousand, five hundred twenty-eight".