1688009652 has 192 divisors, whose sum is σ = 5256437760. Its totient is φ = 458016768.

The previous prime is 1688009633. The next prime is 1688009657. The reversal of 1688009652 is 2569008861.

It is a super-2 number, since 2×1688009652² = 5698753170490322208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1688009598 and 1688009607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688009657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3355633 + ... + 3356135.

It is an arithmetic number, because the mean of its divisors is an integer number (27377280).

Almost surely, 2^1688009652 is an apocalyptic number.

1688009652 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 1688009652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628218880).

1688009652 is an abundant number, since it is smaller than the sum of its proper divisors (3568428108).

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

1688009652 is a wasteful number, since it uses less digits than its factorization.

1688009652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

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

The square root of 1688009652 is about 41085.3946311825. The cubic root of 1688009652 is about 1190.6706320411.

The spelling of 1688009652 in words is "one billion, six hundred eighty-eight million, nine thousand, six hundred fifty-two".