1689431040 has 528 divisors, whose sum is σ = 6664704480. Its totient is φ = 405504000.

The previous prime is 1689430993. The next prime is 1689431057. The reversal of 1689431040 is 401349861.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1689430986 and 1689431004.

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 47 ways as a sum of consecutive naturals, for example, 16726990 + ... + 16727090.

Almost surely, 2^1689431040 is an apocalyptic number.

1689431040 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 1689431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332352240).

1689431040 is an abundant number, since it is smaller than the sum of its proper divisors (4975273440).

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

1689431040 is a wasteful number, since it uses less digits than its factorization.

1689431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1689431040 is about 41102.6889631323. The cubic root of 1689431040 is about 1191.0047395582.

The spelling of 1689431040 in words is "one billion, six hundred eighty-nine million, four hundred thirty-one thousand, forty".