1689572448 has 72 divisors (see below), whose sum is σ = 4851454608. Its totient is φ = 557713152.

The previous prime is 1689572431. The next prime is 1689572453. The reversal of 1689572448 is 8442759861.

It is a happy number.

1689572448 is a `hidden beast` number, since 1 + 68 + 9 + 572 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1689572394 and 1689572403.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1186 + ... + 58142.

It is an arithmetic number, because the mean of its divisors is an integer number (67381314).

Almost surely, 2^1689572448 is an apocalyptic number.

1689572448 is a gapful number since it is divisible by the number (18) 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 1689572448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425727304).

1689572448 is an abundant number, since it is smaller than the sum of its proper divisors (3161882160).

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

1689572448 is a wasteful number, since it uses less digits than its factorization.

1689572448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57076 (or 57065 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1689572448 is about 41104.4091065667. The cubic root of 1689572448 is about 1191.0379682795.

It can be divided in two parts, 168957 and 2448, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 1689572448 in words is "one billion, six hundred eighty-nine million, five hundred seventy-two thousand, four hundred forty-eight".