689673600 has 576 divisors, whose sum is σ = 3078017280. Its totient is φ = 142848000.

The previous prime is 689673583. The next prime is 689673617. The reversal of 689673600 is 6376986.

It is an interprime number because it is at equal distance from previous prime (689673583) and next prime (689673617).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2217445 + ... + 2217755.

It is an arithmetic number, because the mean of its divisors is an integer number (5343780).

Almost surely, 2^689673600 is an apocalyptic number.

689673600 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 689673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539008640).

689673600 is an abundant number, since it is smaller than the sum of its proper divisors (2388343680).

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

689673600 is a wasteful number, since it uses less digits than its factorization.

689673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 689673600 is about 26261.6374203895. The cubic root of 689673600 is about 883.5162344256.

The spelling of 689673600 in words is "six hundred eighty-nine million, six hundred seventy-three thousand, six hundred".