689506560 has 288 divisors, whose sum is σ = 2490082560. Its totient is φ = 180633600.

The previous prime is 689506547. The next prime is 689506567. The reversal of 689506560 is 65605986.

689506560 is a `hidden beast` number, since 6 + 89 + 5 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (689506567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2453620 + ... + 2453900.

It is an arithmetic number, because the mean of its divisors is an integer number (8646120).

Almost surely, 2^689506560 is an apocalyptic number.

689506560 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 689506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245041280).

689506560 is an abundant number, since it is smaller than the sum of its proper divisors (1800576000).

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

689506560 is a wasteful number, since it uses less digits than its factorization.

689506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 689506560 is about 26258.4569234371. The cubic root of 689506560 is about 883.4448990054. Note that the first 3 decimals are identical.

The spelling of 689506560 in words is "six hundred eighty-nine million, five hundred six thousand, five hundred sixty".