1689280272 has 200 divisors, whose sum is σ = 5315016960. Its totient is φ = 516015360.

The previous prime is 1689280261. The next prime is 1689280277. The reversal of 1689280272 is 2720829861.

It is not an unprimeable number, because it can be changed into a prime (1689280277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 762238 + ... + 764450.

Almost surely, 2^1689280272 is an apocalyptic number.

1689280272 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 1689280272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657508480).

1689280272 is an abundant number, since it is smaller than the sum of its proper divisors (3625736688).

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

1689280272 is a wasteful number, since it uses less digits than its factorization.

1689280272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1689280272 is about 41100.8548816202. The cubic root of 1689280272 is about 1190.9693093374.

It can be divided in two parts, 1689 and 280272, that added together give a square (281961 = 531²).

The spelling of 1689280272 in words is "one billion, six hundred eighty-nine million, two hundred eighty thousand, two hundred seventy-two".