667828 has 48 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 253440.

The previous prime is 667819. The next prime is 667829. The reversal of 667828 is 828766.

Its product of digits (32256) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667829) by changing a digit.

667828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10918 + ... + 10978.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁶⁶⁷⁸²⁸ is an apocalyptic number.

667828 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

667828 is an abundant number, since it is smaller than the sum of its proper divisors (832076).

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

667828 is a wasteful number, since it uses less digits than its factorization.

667828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 667828 is about 817.2074400053. The cubic root of 667828 is about 87.4087429529.

The spelling of 667828 in words is "six hundred sixty-seven thousand, eight hundred twenty-eight".