689018400 has 720 divisors, whose sum is σ = 3024806400. Its totient is φ = 152409600.

The previous prime is 689018389. The next prime is 689018401. The reversal of 689018400 is 4810986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689018401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22226385 + ... + 22226415.

It is an arithmetic number, because the mean of its divisors is an integer number (4201120).

Almost surely, 2^689018400 is an apocalyptic number.

689018400 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 689018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512403200).

689018400 is an abundant number, since it is smaller than the sum of its proper divisors (2335788000).

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

689018400 is a wasteful number, since it uses less digits than its factorization.

689018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 689018400 is about 26249.1599865596. The cubic root of 689018400 is about 883.2363613338.

The spelling of 689018400 in words is "six hundred eighty-nine million, eighteen thousand, four hundred".