1688196144 has 80 divisors (see below), whose sum is σ = 4443465600. Its totient is φ = 552211968.

The previous prime is 1688196143. The next prime is 1688196163. The reversal of 1688196144 is 4416918861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1688196093 and 1688196102.

It is not an unprimeable number, because it can be changed into a prime (1688196143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592387 + ... + 595229.

It is an arithmetic number, because the mean of its divisors is an integer number (55543320).

Almost surely, 2^1688196144 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 1688196144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221732800).

1688196144 is an abundant number, since it is smaller than the sum of its proper divisors (2755269456).

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

1688196144 is a wasteful number, since it uses less digits than its factorization.

1688196144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 1688196144 is about 41087.6641341413. The cubic root of 1688196144 is about 1190.7144790200.

The spelling of 1688196144 in words is "one billion, six hundred eighty-eight million, one hundred ninety-six thousand, one hundred forty-four".