1689371040 has 384 divisors, whose sum is σ = 6425395200. Its totient is φ = 372556800.

The previous prime is 1689371003. The next prime is 1689371051. The reversal of 1689371040 is 401739861.

It is a self number, because there is not a number n which added to its sum of digits gives 1689371040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5103675 + ... + 5104005.

It is an arithmetic number, because the mean of its divisors is an integer number (16732800).

Almost surely, 2^1689371040 is an apocalyptic number.

1689371040 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 1689371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212697600).

1689371040 is an abundant number, since it is smaller than the sum of its proper divisors (4736024160).

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

1689371040 is a wasteful number, since it uses less digits than its factorization.

1689371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1689371040 is about 41101.9590773968. The cubic root of 1689371040 is about 1190.9906399139.

The spelling of 1689371040 in words is "one billion, six hundred eighty-nine million, three hundred seventy-one thousand, forty".