689368320 has 360 divisors, whose sum is σ = 2530124520. Its totient is φ = 179159040.

The previous prime is 689368313. The next prime is 689368327. The reversal of 689368320 is 23863986.

It is an interprime number because it is at equal distance from previous prime (689368313) and next prime (689368327).

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 679332096 = 3168^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689368327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324426 + ... + 6324534.

Almost surely, 2^689368320 is an apocalyptic number.

689368320 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 689368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265062260).

689368320 is an abundant number, since it is smaller than the sum of its proper divisors (1840756200).

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

689368320 is a wasteful number, since it uses less digits than its factorization.

689368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 689368320 is about 26255.8244966712. The cubic root of 689368320 is about 883.3858540822.

The spelling of 689368320 in words is "six hundred eighty-nine million, three hundred sixty-eight thousand, three hundred twenty".