1689127440 has 640 divisors, whose sum is σ = 7199539200. Its totient is φ = 316293120.

The previous prime is 1689127423. The next prime is 1689127457. The reversal of 1689127440 is 447219861.

It is an interprime number because it is at equal distance from previous prime (1689127423) and next prime (1689127457).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1689127392 and 1689127401.

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 127 ways as a sum of consecutive naturals, for example, 18978916 + ... + 18979004.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^1689127440 is an apocalyptic number.

1689127440 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 1689127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

1689127440 is an abundant number, since it is smaller than the sum of its proper divisors (5510411760).

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

1689127440 is a wasteful number, since it uses less digits than its factorization.

1689127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1689127440 is about 41098.9956081654. The cubic root of 1689127440 is about 1190.9333919285.

The spelling of 1689127440 in words is "one billion, six hundred eighty-nine million, one hundred twenty-seven thousand, four hundred forty".