1689413760 has 512 divisors, whose sum is σ = 6503846400. Its totient is φ = 418037760.

The previous prime is 1689413749. The next prime is 1689413773. The reversal of 1689413760 is 673149861.

It is a happy number.

1689413760 is a `hidden beast` number, since 168 + 9 + 413 + 76 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23794525 + ... + 23794595.

It is an arithmetic number, because the mean of its divisors is an integer number (12702825).

Almost surely, 2^1689413760 is an apocalyptic number.

1689413760 is a gapful number since it is divisible by the number (10) 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 1689413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251923200).

1689413760 is an abundant number, since it is smaller than the sum of its proper divisors (4814432640).

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

1689413760 is an frugal number, since it uses more digits than its factorization.

1689413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1689413760 is about 41102.4787573694. The cubic root of 1689413760 is about 1191.0006788949. Note that the first 3 decimals are identical.

The spelling of 1689413760 in words is "one billion, six hundred eighty-nine million, four hundred thirteen thousand, seven hundred sixty".