1688201632 has 48 divisors (see below), whose sum is σ = 3598221312. Its totient is φ = 775054080.

The previous prime is 1688201561. The next prime is 1688201659. The reversal of 1688201632 is 2361028861.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1688201591 and 1688201600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68833 + ... + 90079.

It is an arithmetic number, because the mean of its divisors is an integer number (74962944).

Almost surely, 2^1688201632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799110656).

1688201632 is an abundant number, since it is smaller than the sum of its proper divisors (1910019680).

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

1688201632 is a wasteful number, since it uses less digits than its factorization.

1688201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21461 (or 21453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1688201632 is about 41087.7309181220. The cubic root of 1688201632 is about 1190.7157692796.

The spelling of 1688201632 in words is "one billion, six hundred eighty-eight million, two hundred one thousand, six hundred thirty-two".