689774400 has 336 divisors, whose sum is σ = 2874954880. Its totient is φ = 157593600.

The previous prime is 689774389. The next prime is 689774401. The reversal of 689774400 is 4477986.

It is a tau number, because it is divible by the number of its divisors (336).

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 (689774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301260 + ... + 303540.

Almost surely, 2^689774400 is an apocalyptic number.

689774400 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 689774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437477440).

689774400 is an abundant number, since it is smaller than the sum of its proper divisors (2185180480).

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

689774400 is a wasteful number, since it uses less digits than its factorization.

689774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 689774400 is about 26263.5564994538. The cubic root of 689774400 is about 883.5592760896.

The spelling of 689774400 in words is "six hundred eighty-nine million, seven hundred seventy-four thousand, four hundred".