697680 has 160 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 165888.

The previous prime is 697673. The next prime is 697681. The reversal of 697680 is 86796.

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

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

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 697680.

It is not an unprimeable number, because it can be changed into a prime (697681) by changing a digit.

697680 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 31 ways as a sum of consecutive naturals, for example, 36711 + ... + 36729.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2⁶⁹⁷⁶⁸⁰ is an apocalyptic number.

697680 is a gapful number since it is divisible by the number (60) 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 697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

697680 is an abundant number, since it is smaller than the sum of its proper divisors (1980720).

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

697680 is a wasteful number, since it uses less digits than its factorization.

697680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 697680 is about 835.2724106542. The cubic root of 697680 is about 88.6921993541.

It can be divided in two parts, 6976 and 80, that added together give a square (7056 = 84²).

The spelling of 697680 in words is "six hundred ninety-seven thousand, six hundred eighty".