906528 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 241920.

The previous prime is 906523. The next prime is 906539. The reversal of 906528 is 825609.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 906495 and 906504.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906528.

It is not an unprimeable number, because it can be changed into a prime (906523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12733 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁹⁰⁶⁵²⁸ 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 906528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

906528 is an abundant number, since it is smaller than the sum of its proper divisors (1996512).

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

906528 is a wasteful number, since it uses less digits than its factorization.

906528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 906528 is about 952.1176397904. The cubic root of 906528 is about 96.7818102105.

The spelling of 906528 in words is "nine hundred six thousand, five hundred twenty-eight".