828640 has 24 divisors (see below), whose sum is σ = 1958040. Its totient is φ = 331392.

The previous prime is 828637. The next prime is 828643. The reversal of 828640 is 46828.

It is an interprime number because it is at equal distance from previous prime (828637) and next prime (828643).

It is a junction number, because it is equal to n+sod(n) for n = 828599 and 828608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2430 + ... + 2749.

It is an arithmetic number, because the mean of its divisors is an integer number (81585).

2⁸²⁸⁶⁴⁰ is an apocalyptic number.

828640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828640 is an abundant number, since it is smaller than the sum of its proper divisors (1129400).

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

828640 is a wasteful number, since it uses less digits than its factorization.

828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 828640 is about 910.2966549428. The cubic root of 828640 is about 93.9266063591.

The spelling of 828640 in words is "eight hundred twenty-eight thousand, six hundred forty".