697984 has 64 divisors (see below), whose sum is σ = 1713600. Its totient is φ = 276480.

The previous prime is 697979. The next prime is 697993. The reversal of 697984 is 489796.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (108864) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 697984.

It is an unprimeable number.

697984 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 17004 + ... + 17044.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

2⁶⁹⁷⁹⁸⁴ is an apocalyptic number.

697984 is a gapful number since it is divisible by the number (64) 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 697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800).

697984 is an abundant number, since it is smaller than the sum of its proper divisors (1015616).

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

697984 is a wasteful number, since it uses less digits than its factorization.

697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 697984 is about 835.4543673954. The cubic root of 697984 is about 88.7050794297.

It can be divided in two parts, 697 and 984, that added together give a square (1681 = 41²).

The spelling of 697984 in words is "six hundred ninety-seven thousand, nine hundred eighty-four".