689678400 has 168 divisors, whose sum is σ = 2306263104. Its totient is φ = 180377600.

The previous prime is 689678393. The next prime is 689678443. The reversal of 689678400 is 4876986.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 689678400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 253045 + ... + 255755.

Almost surely, 2^689678400 is an apocalyptic number.

689678400 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 689678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153131552).

689678400 is an abundant number, since it is smaller than the sum of its proper divisors (1616584704).

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

689678400 is a wasteful number, since it uses less digits than its factorization.

689678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 689678400 is about 26261.7288082868. The cubic root of 689678400 is about 883.5182841238.

The spelling of 689678400 in words is "six hundred eighty-nine million, six hundred seventy-eight thousand, four hundred".