1688112720 has 360 divisors, whose sum is σ = 6714882720. Its totient is φ = 378846720.

The previous prime is 1688112709. The next prime is 1688112739. The reversal of 1688112720 is 272118861.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2081115 + ... + 2081925.

It is an arithmetic number, because the mean of its divisors is an integer number (18652452).

Almost surely, 2^1688112720 is an apocalyptic number.

1688112720 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 1688112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357441360).

1688112720 is an abundant number, since it is smaller than the sum of its proper divisors (5026770000).

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

1688112720 is a wasteful number, since it uses less digits than its factorization.

1688112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1688112720 is about 41086.6489263848. The cubic root of 1688112720 is about 1190.6948652247.

The spelling of 1688112720 in words is "one billion, six hundred eighty-eight million, one hundred twelve thousand, seven hundred twenty".