689617920 has 352 divisors, whose sum is σ = 2476051200. Its totient is φ = 162791424.

The previous prime is 689617919. The next prime is 689617949. The reversal of 689617920 is 29716986.

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 689617920.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4961211 + ... + 4961349.

Almost surely, 2^689617920 is an apocalyptic number.

689617920 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 689617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238025600).

689617920 is an abundant number, since it is smaller than the sum of its proper divisors (1786433280).

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

689617920 is a wasteful number, since it uses less digits than its factorization.

689617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 689617920 is about 26260.5772975386. The cubic root of 689617920 is about 883.4924572322.

The spelling of 689617920 in words is "six hundred eighty-nine million, six hundred seventeen thousand, nine hundred twenty".