1689501072 has 160 divisors (see below), whose sum is σ = 5308803072. Its totient is φ = 451971072.

The previous prime is 1689501059. The next prime is 1689501083. The reversal of 1689501072 is 2701059861.

1689501072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1689501072.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295973 + ... + 1297275.

Almost surely, 2^1689501072 is an apocalyptic number.

1689501072 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 1689501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654401536).

1689501072 is an abundant number, since it is smaller than the sum of its proper divisors (3619302000).

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

1689501072 is a wasteful number, since it uses less digits than its factorization.

1689501072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 1689501072 is about 41103.5408693704. The cubic root of 1689501072 is about 1191.0211962408.

The spelling of 1689501072 in words is "one billion, six hundred eighty-nine million, five hundred one thousand, seventy-two".