1689253488 has 240 divisors, whose sum is σ = 5412882720. Its totient is φ = 501396480.

The previous prime is 1689253477. The next prime is 1689253499. The reversal of 1689253488 is 8843529861.

1689253488 is a `hidden beast` number, since 16 + 8 + 92 + 534 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1689253477) and next prime (1689253499).

It is a super-2 number, since 2×1689253488² = 5707154693440332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3317760) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5396820 + ... + 5397132.

It is an arithmetic number, because the mean of its divisors is an integer number (22553678).

Almost surely, 2^1689253488 is an apocalyptic number.

1689253488 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 1689253488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706441360).

1689253488 is an abundant number, since it is smaller than the sum of its proper divisors (3723629232).

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

1689253488 is a wasteful number, since it uses less digits than its factorization.

1689253488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 362 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 1689253488 is about 41100.5290476899. The cubic root of 1689253488 is about 1190.9630149229.

The spelling of 1689253488 in words is "one billion, six hundred eighty-nine million, two hundred fifty-three thousand, four hundred eighty-eight".