689434200 has 768 divisors, whose sum is σ = 3099801600. Its totient is φ = 136857600.

The previous prime is 689434157. The next prime is 689434217. The reversal of 689434200 is 2434986.

It is a happy number.

It is a super-2 number, since 2×689434200² = 950639032259280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11302170 + ... + 11302230.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2^689434200 is an apocalyptic number.

689434200 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 689434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549900800).

689434200 is an abundant number, since it is smaller than the sum of its proper divisors (2410367400).

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

689434200 is a wasteful number, since it uses less digits than its factorization.

689434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 689434200 is about 26257.0790454689. The cubic root of 689434200 is about 883.4139936628.

The spelling of 689434200 in words is "six hundred eighty-nine million, four hundred thirty-four thousand, two hundred".