689389920 has 384 divisors, whose sum is σ = 2619993600. Its totient is φ = 168708096.

The previous prime is 689389913. The next prime is 689389927. The reversal of 689389920 is 29983986.

It is an interprime number because it is at equal distance from previous prime (689389913) and next prime (689389927).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689389927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3036847 + ... + 3037073.

It is an arithmetic number, because the mean of its divisors is an integer number (6822900).

Almost surely, 2^689389920 is an apocalyptic number.

689389920 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 689389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309996800).

689389920 is an abundant number, since it is smaller than the sum of its proper divisors (1930603680).

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

689389920 is a wasteful number, since it uses less digits than its factorization.

689389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 689389920 is about 26256.2358307508. The cubic root of 689389920 is about 883.3950803717.

The spelling of 689389920 in words is "six hundred eighty-nine million, three hundred eighty-nine thousand, nine hundred twenty".