1689832512 has 84 divisors (see below), whose sum is σ = 4849350220. Its totient is φ = 562609152.

The previous prime is 1689832493. The next prime is 1689832577. The reversal of 1689832512 is 2152389861.

1689832512 is a `hidden beast` number, since 16 + 8 + 98 + 32 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 434972736 + 1254859776 = 20856^2 + 35424^2 .

It is a super-2 number, since 2×1689832512² = 5711067837224460288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822078 + ... + 824130.

Almost surely, 2^1689832512 is an apocalyptic number.

1689832512 is a gapful number since it is divisible by the number (12) 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 1689832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424675110).

1689832512 is an abundant number, since it is smaller than the sum of its proper divisors (3159517708).

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

1689832512 is a wasteful number, since it uses less digits than its factorization.

1689832512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3487 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1689832512 is about 41107.5724410965. The cubic root of 1689832512 is about 1191.0990745094.

The spelling of 1689832512 in words is "one billion, six hundred eighty-nine million, eight hundred thirty-two thousand, five hundred twelve".