1689899520 has 320 divisors, whose sum is σ = 5859089280. Its totient is φ = 414056448.

The previous prime is 1689899509. The next prime is 1689899573. The reversal of 1689899520 is 259989861.

1689899520 = T₉₅₃₉ + T₉₅₄₀ + ... + T₉₅₇₅.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 5398884 + ... + 5399196.

It is an arithmetic number, because the mean of its divisors is an integer number (18309654).

Almost surely, 2^1689899520 is an apocalyptic number.

1689899520 is a gapful number since it is divisible by the number (10) 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 1689899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929544640).

1689899520 is an abundant number, since it is smaller than the sum of its proper divisors (4169189760).

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

1689899520 is a wasteful number, since it uses less digits than its factorization.

1689899520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The square root of 1689899520 is about 41108.3874653336. The cubic root of 1689899520 is about 1191.1148181035.

The spelling of 1689899520 in words is "one billion, six hundred eighty-nine million, eight hundred ninety-nine thousand, five hundred twenty".