689712100 has 216 divisors, whose sum is σ = 1994872320. Its totient is φ = 201907200.

The previous prime is 689712077. The next prime is 689712113. The reversal of 689712100 is 1217986.

689712100 = T₃₃₄₅ + T₃₃₄₆ + ... + T₃₄₆₃.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1439661 + ... + 1440139.

It is an arithmetic number, because the mean of its divisors is an integer number (9235520).

Almost surely, 2^689712100 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 689712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

689712100 is an abundant number, since it is smaller than the sum of its proper divisors (1305160220).

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

689712100 is a wasteful number, since it uses less digits than its factorization.

689712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 689712100 is about 26262.3704185285. The cubic root of 689712100 is about 883.5326744450.

The spelling of 689712100 in words is "six hundred eighty-nine million, seven hundred twelve thousand, one hundred".