1688172320 has 48 divisors (see below), whose sum is σ = 4073182848. Its totient is φ = 660898560.

The previous prime is 1688172313. The next prime is 1688172337. The reversal of 1688172320 is 232718861.

It is a super-3 number, since 3×1688172320³ (a number of 29 digits) contains 333 as substring.

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, 104726 + ... + 119765.

It is an arithmetic number, because the mean of its divisors is an integer number (84857976).

Almost surely, 2^1688172320 is an apocalyptic number.

1688172320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688172320 is an abundant number, since it is smaller than the sum of its proper divisors (2385010528).

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

1688172320 is a wasteful number, since it uses less digits than its factorization.

1688172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224553 (or 224545 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 1688172320 is about 41087.3742164184. The cubic root of 1688172320 is about 1190.7088778314.

The spelling of 1688172320 in words is "one billion, six hundred eighty-eight million, one hundred seventy-two thousand, three hundred twenty".