690768 has 100 divisors (see below), whose sum is σ = 2205588. Its totient is φ = 207360.

The previous prime is 690757. The next prime is 690787. The reversal of 690768 is 867096.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 627264 = 252^2 + 792^2 .

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

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 690768.

It is an unprimeable number.

690768 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 19 ways as a sum of consecutive naturals, for example, 16828 + ... + 16868.

2⁶⁹⁰⁷⁶⁸ 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 690768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102794).

690768 is an abundant number, since it is smaller than the sum of its proper divisors (1514820).

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

690768 is a wasteful number, since it uses less digits than its factorization.

690768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

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

The square root of 690768 is about 831.1245394043. The cubic root of 690768 is about 88.3983319710.

The spelling of 690768 in words is "six hundred ninety thousand, seven hundred sixty-eight".