678528 has 96 divisors (see below), whose sum is σ = 2121600. Its totient is φ = 207360.

The previous prime is 678499. The next prime is 678533. The reversal of 678528 is 825876.

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

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

Its product of digits (26880) is a multiple of the sum of its prime factors (70).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 678492 and 678501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21873 + ... + 21903.

It is an arithmetic number, because the mean of its divisors is an integer number (22100).

2⁶⁷⁸⁵²⁸ 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 678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060800).

678528 is an abundant number, since it is smaller than the sum of its proper divisors (1443072).

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

678528 is a wasteful number, since it uses less digits than its factorization.

678528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 678528 is about 823.7281104831. The cubic root of 678528 is about 87.8730953158.

The spelling of 678528 in words is "six hundred seventy-eight thousand, five hundred twenty-eight".