698112 has 72 divisors (see below), whose sum is σ = 2084880. Its totient is φ = 230400.

The previous prime is 698111. The next prime is 698171. The reversal of 698112 is 211896.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 698112.

It is not an unprimeable number, because it can be changed into a prime (698111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6862 + ... + 6962.

2⁶⁹⁸¹¹² 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 698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042440).

698112 is an abundant number, since it is smaller than the sum of its proper divisors (1386768).

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

698112 is a wasteful number, since it uses less digits than its factorization.

698112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 698112 is about 835.5309689054. The cubic root of 698112 is about 88.7105015006.

698112 divided by its product of digits (864) gives a palindrome (808).

The spelling of 698112 in words is "six hundred ninety-eight thousand, one hundred twelve".