1688148672 has 56 divisors (see below), whose sum is σ = 5104644096. Its totient is φ = 482327808.

The previous prime is 1688148629. The next prime is 1688148731. The reversal of 1688148672 is 2768418861.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

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, 626688 + ... + 629375.

Almost surely, 2^1688148672 is an apocalyptic number.

1688148672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1688148672 is an abundant number, since it is smaller than the sum of its proper divisors (3416495424).

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

1688148672 is a wasteful number, since it uses less digits than its factorization.

1688148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256085 (or 1256075 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 1688148672 is about 41087.0864384419. The cubic root of 1688148672 is about 1190.7033179694.

The spelling of 1688148672 in words is "one billion, six hundred eighty-eight million, one hundred forty-eight thousand, six hundred seventy-two".